@BOOK{Motives, AUTHOR={}, TITLE={Motives}, SERIES={Proc. of Symp. in Pure Math.}, VOLUME={54-55}, PUBLISHER={AMS}, YEAR={1994}} @ARTICLE{Arlet, AUTHOR={D. Arlettaz}, TITLE={The order of the differentials in the {A}tiyah-{H}irzebruch spectral sequence}, JOURNAL={{$K$}-theory}, VOLUME={6}, YEAR={1992}, PAGES={347-361}} @BOOK{Artin, AUTHOR={M. Artin}, TITLE={Grothendieck topologies}, PUBLISHER={Harvard Univ.}, ADDRESS={Cambridge}, YEAR={1962}} @BOOK{AM, AUTHOR={M. Artin and B. Mazur}, TITLE={Etale homotopy}, PUBLISHER={Springer}, ADDRESS={Heidelberg}, YEAR={1969}, SERIES={Lecture Notes in Math. 100}} @INCOLLECTION{BT, AUTHOR={H. Bass and J. Tate}, TITLE={The {M}ilnor ring of a global field}, BOOKTITLE={{$K$}-theory {II}}, PAGES={349-446}, SERIES={Lecture Notes in Math.}, VOLUME={342}, PUBLISHER={Springer-Verlag}, YEAR={1973}} @incollection {A100, AUTHOR = {Be{\u\i}linson, A. A. and Bernstein, J. and Deligne, P.}, TITLE = {Faisceaux pervers}, BOOKTITLE = {Analysis and topology on singular spaces, I (Luminy, 1981)}, PAGES = {5--171}, PUBLISHER = {Soc. Math. France}, ADDRESS = {Paris}, YEAR = {1982}, MRCLASS = {32C38}, MRNUMBER = {86g:32015}, MRREVIEWER = {Zoghman Mebkhout}, } @ARTICLE{Notes, AUTHOR={A. Beilinson and R. MacPherson and V. Schechtman}, TITLE={Notes on motivic cohomology}, JOURNAL={Duke Math. J.}, YEAR={1987}, PAGES={679-710}} @INCOLLECTION{pairing, AUTHOR={A. Beilinson}, TITLE={Height pairing between algebraic cycles}, BOOKTITLE={{$K$}-theory, {A}rithmetic and {G}eometry.}, PAGES={1-26}, SERIES={Lecture Notes in Math.}, VOLUME={1289}, PUBLISHER={Springer-Verlag}, YEAR={1987}} @INCOLLECTION{four, AUTHOR={A. A. Beilinson and A. B. Goncharov and V. V. Schechtman and A. N. Varchenko}, TITLE={Aomoto dilogarithms, mixed {H}odge structures and motivic cohomology of pairs of triangles on the plane}, BOOKTITLE={The Grothendieck festchrift}, VOLUME={1}, PAGES={135-172}, PUBLISHER={Birkhauser}, ADDRESS={Boston}, YEAR={1990}} @ARTICLE{Benson, AUTHOR={D. J. Benson and M. Feshbach}, TITLE={Stable splittings for the classifying spaces of finite groups}, JOURNAL={Topology}, VOLUME={31}, YEAR={1992}, PAGES={157-176}} @ARTICLE{Bloch2, AUTHOR={S. Bloch}, TITLE={{$K_2$} of artinian {$\bf Q$}-algebras with applications to algebraic cycles}, JOURNAL={Comm. Algebra}, VOLUME={3(5)}, YEAR={1975}, PAGES={405-428}} @BOOK{Bloch3, AUTHOR={S. Bloch}, TITLE={Lectures on algebraic cycles}, PUBLISHER={Duke Univ. Press}, YEAR={1980}} @ARTICLE{SBloch, AUTHOR={S. Bloch}, TITLE={Algebraic cycles and higher {$K$}-theory}, JOURNAL={Adv. in Math.}, VOLUME={61}, YEAR={1986}, PAGES={267-304}} @ARTICLE{BK, AUTHOR={S. Bloch and K. Kato}, TITLE={{$p$}-adic \`etale cohomology}, JOURNAL={Publ. Math. IHES}, VOLUME={63}, YEAR={1986}, PAGES={107-152}} @ARTICLE{SBloch3, AUTHOR={S. Bloch}, TITLE={Algebraic cycles and the {L}ie algebra of mixed {T}ate motives}, JOURNAL={JAMS}, VOLUME={4}, YEAR={1991}, PAGES={771-791}} @ARTICLE{SBloch1, AUTHOR={S. Bloch}, TITLE={The moving lemma for higher {C}how groups.}, JOURNAL={J. Algebr. Geom.}, VOLUME={3}, NUMBER={3}, PAGES={537-568}, YEAR={Feb. 1994}} @ARTICLE{BL, AUTHOR={Spencer Bloch and Stephen Lichtenbaum}, TITLE={A spectral sequence for motivic cohomology.}, JOURNAL={www.math.uiuc.edu/K-theory/062}, YEAR={1994}} @ARTICLE{SBloch4, AUTHOR={S. Bloch and I. Kriz}, TITLE={Mixed {T}ate motives}, JOURNAL={Ann. of Math.}, VOLUME={140}, YEAR={1994}, PAGES={557-605}} @INCOLLECTION{Boardman, AUTHOR={J. M. Boardman}, TITLE={The eightfold way to {BP}-operations}, BOOKTITLE={Current trends in algebraic topology}, PAGES={187-226}, PUBLISHER={AMS/CMS}, ADDRESS={Providence}, YEAR={1982}} @article {Simone, AUTHOR = {Borghesi, Simone}, TITLE = {Algebraic {M}orava {$K$}-theories}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {151}, YEAR = {2003}, NUMBER = {2}, PAGES = {381--413}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {55N20 (14Fxx)}, MRNUMBER = {1 953 263}, } @BOOK{Bourbaki, AUTHOR={N. Bourbaki}, TITLE={Algebre commutative}, PUBLISHER={Herman}, ADDRESS={Paris}, YEAR={1964}} @BOOK{BKan, AUTHOR={A.K. Bousfield and D.M. Kan}, TITLE={Homotopy limits, completions and localizations}, SERIES={Lecture Notes in Math. 304}, PUBLISHER={Springer-Verlag}, YEAR={1972}} @ARTICLE{BF, AUTHOR={A.K. Bousfield and E.M. Friedlander}, TITLE={Homotopy theory of {$\Gamma$}-spaces, spectra, and bisimplicial sets}, JOURNAL={Lecture Notes in Math. 658}, YEAR={1978}, PAGES={80-130}} @ARTICLE{KSB, AUTHOR={K.S. Brown}, TITLE={Abstract homotopy theory and generalized sheaf cohomology}, JOURNAL={Trans. AMS}, VOLUME={186}, YEAR={1973}, PAGES={419-458}} @ARTICLE{KSB2, AUTHOR={K.S. Brown and S.M. Gersten}, TITLE={Algebraic {$K$}-theory and generalizied sheaf cohomology}, JOURNAL={Lecture Notes in Math. 341}, PAGES={266-292}, YEAR={1973}} @BOOK{CF, AUTHOR={Pierre E. Conner and Edwin E. Floyd}, TITLE={The relation of cobordism to {$K$}-theory}, PUBLISHER={Springer}, ADDRESS={Heidelberg}, YEAR={1966}, SERIES={Lecture Notes in Math. 28}} @ARTICLE{Dayton, AUTHOR={B. Dayton}, TITLE={K-theory of tetrahedra}, JOURNAL={J. Algebra}, PAGES={129-144}, YEAR={1979}} @ARTICLE{Deligne, AUTHOR={P. Deligne}, TITLE={La conjecture de {W}eil. {II}}, JOURNAL={Publ. Math. IHES, 52}, PAGES={5-136}, YEAR={1980}} @BOOK{SGA4.5, AUTHOR={P. Deligne and J.-F. Boutot and L. Illusie and J.-L. Verdier}, TITLE={Etale cohomologies (SGA 4 1/2)}, PUBLISHER={Springer}, ADDRESS={Heidelberg}, YEAR={1977}, SERIES={Lecture Notes in Math. 569}} @INPROCEEDINGS{DelMilne, AUTHOR={P. Deligne and J.S.Milne}, TITLE={Tannakian Categories.}, BOOKTITLE={Hodge cycles, motives and {S}himura varieties}, SERIES={Lecture Notes in Math. 900}, YEAR={1982}, PAGES={101-228}} @ARTICLE{Dold, AUTHOR={A. Dold}, TITLE={Homology of symmetric products}, JOURNAL={Ann. of Math}, VOLUME={68}, NUMBER={1}, YEAR={1958}, PAGES={54-80}} @ARTICLE{DoldPuppe, AUTHOR={A. Dold and D. Puppe}, TITLE={Homologie nicht-additiver {F}unctoren}, JOURNAL={Ann. Inst. Fourier}, VOLUME={11}, YEAR={1961}, PAGES={201-312}} @ARTICLE{DoldL, AUTHOR={A. Dold and R. Lashof}, TITLE={Principal quasi-fibrations and fiber homotopy equivalence of bundles}, JOURNAL={Illinois J. Math.}, VOLUME={3}, YEAR={1959}, PAGES={285-305}} @ARTICLE{DT, AUTHOR={A. Dold and R. Thom}, TITLE={Quasifaserungen und unendliche symmtrische {P}rodukte}, JOURNAL={Ann. of Math.}, VOLUME={67}, YEAR={1956}, PAGES={230-281}} @ARTICLE{DHK, AUTHOR={W.G. Dwyer and P.S. Hirschhorn and D.M. Kan.}, TITLE={Model categories and general abstract homotopy theory}, JOURNAL={In preparation}} @ARTICLE{EM1, AUTHOR={S. Eilenberg and S. MacLane}, TITLE={On the groups {$H(\Pi,n)$, I}}, JOURNAL={Ann. of Math.}, VOLUME={60}, NUMBER={1}, YEAR={1954}, PAGES={49-139}} @ARTICLE{EM2, AUTHOR={S. Eilenberg and S. MacLane}, TITLE={On the groups {$H(\Pi,n)$, II}: methods of computation}, JOURNAL={Ann. of Math.}, VOLUME={60}, NUMBER={1}, YEAR={1954}, PAGES={49-139}} @INCOLLECTION{Ek, AUTHOR={T. Ekedahl}, TITLE={On the adic formalism}, BOOKTITLE={The Grothendieck festchrift}, VOLUME={2}, PAGES={197-218}, PUBLISHER={Birkhauser}, ADDRESS={Boston}, YEAR={1990}} @ARTICLE{F1, AUTHOR={Eric M. Friedlander}, TITLE={ Algebraic cycles, {C}how varieties, and {L}awson homology.}, JOURNAL={Compositio Math.}, VOLUME={77}, PAGES={55-93}, YEAR={1991}} @ARTICLE{FL, AUTHOR={Eric M. Friedlander and H. Lawson}, TITLE={A theory of algebraic cocycles}, JOURNAL={Ann. of Math.}, VOLUME={136}, YEAR={1992}, PAGES={361-428}} @ARTICLE{F-G, AUTHOR={Eric M. Friedlander and O. Gabber}, TITLE={Cycle spaces and intersection theory}, JOURNAL={Topological methods in modern mathematics}, PAGES={325-370}, YEAR={1993}} @ARTICLE{F-L2, AUTHOR={Eric M. Friedlander and H. B. Lawson}, TITLE={A moving lemma for families of algebraic cycles}, JOURNAL={Preprint}, YEAR={1994}} @ARTICLE{F-M2, AUTHOR={Eric M. Friedlander and B. Mazur}, TITLE={Correspondence homomorphisms for singular varieties}, JOURNAL={Annales d'Institut Fourier}, VOLUME={44}, PAGES={703-727}, YEAR={1994} } @BOOK{FM, AUTHOR={Eric M. Friedlander and B. Mazur}, TITLE={Filtrations on the homology of algebraic varieties}, SERIES={Memoir of the AMS}, VOLUME={529}, PUBLISHER={AMS}, ADDRESS={Providence, RI}, YEAR={1994}} @ARTICLE{Eric, AUTHOR={Eric M. Friedlander}, TITLE={Some computations of algebraic cycle homology}, JOURNAL={{$K$}-theory}, VOLUME={8}, PAGES={271-285}, YEAR={1994}} @ARTICLE{F-L3, AUTHOR={Eric M. Friedlander and H. B. Lawson}, TITLE={Duality for spaces of algebraic cycles}, JOURNAL={Preprint}, YEAR={1994} } @ARTICLE{F2, AUTHOR={Eric M. Friedlander}, TITLE={Filtrations on algebraic cycles and homology}, JOURNAL={Ann.Sci.Ec.Norm.Sup.}, VOLUME={28}, NUMBER={3}, YEAR={1995}, PAGES={317-343}} @ARTICLE{FV, AUTHOR={Eric M. Friedlander and Vladimir Voevodsky}, TITLE={Bivariant cycle cohomology}, JOURNAL={www.math.uiuc.edu/K-theory/75}, YEAR={1995}} @ARTICLE{F-V, AUTHOR={Eric M. Friedlander and Vladimir Voevodsky}, TITLE={Bivariant cycle cohomology}, JOURNAL={www.math.uiuc.edu/K-theory/75}, YEAR={1995}} @INCOLLECTION{F-Vnew, AUTHOR={Eric M. Friedlander and Vladimir Voevodsky}, TITLE={Bivariant cycle cohomology}, BOOKTITLE={Cycles, transfers and motivic homology theories}, PAGES={138-187}, SERIES={Annals of Math Studies}, PUBLISHER={Princeton Univ. Press}, YEAR={2000}} @article {FS, AUTHOR = {Friedlander, Eric M. and Suslin, Andrei}, TITLE = {The spectral sequence relating algebraic {$K$}-theory to motivic cohomology}, JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)}, FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure. Quatri\`eme S\'erie}, VOLUME = {35}, YEAR = {2002}, NUMBER = {6}, PAGES = {773--875}, ISSN = {0012-9593}, CODEN = {ASENAH}, MRCLASS = {14F42 (14C35 19E15)}, MRNUMBER = {1 949 356}, } @BOOK{PICC, AUTHOR={R. Fritsch and R.A. Piccinini}, TITLE={Cellular structures in topology}, PUBLISHER={Cambridge Univ. Press}, ADDRESS={Cambridge}, YEAR={1990}} @BOOK{FultMac, AUTHOR={W. Fulton and R. Mac{P}herson}, TITLE={Catergorical framework for the study of singular spaces}, SERIES={Mem. AMS}, NUMBER={243}, PUBLISHER={AMS}, YEAR={1981}} @BOOK{Fulton, AUTHOR={W. Fulton}, TITLE={Intersection Theory}, PUBLISHER={Springer-Verlag}, ADDRESS={Berlin}, YEAR={1984}} @BOOK{GabZis, AUTHOR={P. Gabriel and M. Zisman}, TITLE={Calculus of fractions and homotopy theory}, PUBLISHER={Springer-Verlag}, ADDRESS={Berlin}, YEAR={1967}} @article {GL, AUTHOR = {Geisser, Thomas and Levine, Marc}, TITLE = {The {B}loch-{$K$}ato conjecture and a theorem of {S}uslin-{V}oevodsky}, JOURNAL = {J. Reine Angew. Math.}, FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik}, VOLUME = {530}, YEAR = {2001}, PAGES = {55--103}, ISSN = {0075-4102}, CODEN = {JRMAA8}, MRCLASS = {14Fxx (19-XX)}, MRNUMBER = {1 807 268}, } @article {GL2, AUTHOR = {Geisser, Thomas and Levine, Marc}, TITLE = {The ${K}$-theory of fields in characteristic $p$}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {139}, YEAR = {2000}, NUMBER = {3}, PAGES = {459--493}, ISSN = {0020-9910}, CODEN = {INVMBH}, MRCLASS = {19D50 (14C15 19D45 19E08)}, MRNUMBER = {2001f:19002}, MRREVIEWER = {Michel Gros}, } @ARTICLE{Gillet, AUTHOR={H. Gillet and R. Thomason}, TITLE={The {$K$}-theory of strict hensel local rings and a theorem of {S}uslin}, JOURNAL={J.Pure Appl. Algebra}, VOLUME={34}, YEAR={1984}, PAGES={241-254}} @BOOK{GJ, AUTHOR={Paul G. Goerss and John F. Jardine}, TITLE={Simplicial Homotopy Theory}, PUBLISHER={Birkhauser}, YEAR={1999}} @ARTICLE{Goncharov1, AUTHOR={A. Goncharov}, TITLE={Geometry of configurations, polylogarithms and motivic cohomology.}, JOURNAL={Preprint (to appear in Adv. Math.)}, YEAR={1991} } @ARTICLE{GooL, AUTHOR={T. G. Goodwillie and Stephen Lichtenbaum}, TITLE={A cohomological bound for the h-topology}, JOURNAL={Preprint}, YEAR={2000} } @article {Grayson, AUTHOR = {Grayson, Daniel R.}, TITLE = {Weight filtrations via commuting automorphisms}, JOURNAL = {$K$-Theory}, FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development, Application, and Influence of $K$-Theory in the Mathematical Sciences}, VOLUME = {9}, YEAR = {1995 or {\em www.math.uiuc.edu/K-theory/003}}, NUMBER = {2}, PAGES = {139--172}, ISSN = {0920-3036}, CODEN = {KTHEEO}, MRCLASS = {19D50}, MRNUMBER = {96h:19001}, MRREVIEWER = {Steven E. Landsburg}, } @INCOLLECTION{Standard, AUTHOR={A. Grothendieck}, TITLE={Standard conjectures on algebraic cycles}, BOOKTITLE={Algebraic geometry. International Colloq., Tata Inst., Bombay 1968}, PAGES={193-199}, PUBLISHER={Oxford Univ. Press}, ADDRESS={London}, YEAR={1969}} @INPROCEEDINGS{FGA, AUTHOR={A. Grothendiek}, TITLE={Les schemas de {P}icard: theoremes d'existence}, BOOKTITLE={Seminaire Bourbaki}, YEAR={1961/62}, MONTH={n.232}} @INPROCEEDINGS{FGA5, AUTHOR={A. Grothendiek}, TITLE={Les schemas de {P}icard: theoremes d'existence}, BOOKTITLE={Seminaire Bourbaki}, YEAR={1961/62}, MONTH={n.232}} @INPROCEEDINGS{FGA3, AUTHOR={A. Grothendiek}, TITLE={Preschemas quotients}, BOOKTITLE={Seminaire Bourbaki}, YEAR={1960/61}, MONTH={n.212}} @BOOK{EGA1, AUTHOR={A. Grothendieck and J. Dieudonne}, TITLE={Le Langage des Schemas (EGA 1)}, PUBLISHER={Springer}, ADDRESS={Heidelberg}, YEAR={1971}} @BOOK{EGA2, AUTHOR={A. Grothendieck and J. Dieudonne}, TITLE={Etude Globale Elementaire de Quelques Classes de Morphismes (EGA 2)}, PUBLISHER={Publ. Math. IHES,8}, YEAR={1961}} @BOOK{EGA3, AUTHOR={A. Grothendieck and J. Dieudonne}, TITLE={Etude Cohomologique des Faisceaux Coherents (EGA 3)}, PUBLISHER={Publ. Math. IHES,11,17}, YEAR={1961,1963}} @BOOK{EGA4, AUTHOR={A. Grothendieck and J. Dieudonne}, TITLE={Etude Locale des Schemas et des Morphismes de Schemas (EGA 4)}, PUBLISHER={Publ. Math. IHES,20,24,28,32}, YEAR={1964-67}} @BOOK{SGA1, AUTHOR={A. Grothendieck}, TITLE={Revetements etale et groupe fondamental(SGA 1)}, PUBLISHER={Springer}, ADDRESS={Heidelberg}, YEAR={1971}, SERIES={Lecture Notes in Math. 224}} @BOOK{SGA3, AUTHOR={A. Grothendieck and M. Demazure}, TITLE={Schemas en groupes (SGA 3)}, PUBLISHER={Springer}, ADDRESS={Heidelberg}, YEAR={1970}, SERIES={Lecture Notes in Math. 151,152,153}} @BOOK{SGA31, AUTHOR={A. Grothendieck and M. Demazure}, TITLE={Schemas en groupes (SGA 3)}, PUBLISHER={Springer}, ADDRESS={Heidelberg}, YEAR={1970}, SERIES={Lecture Notes in Math. 151}} @BOOK{SGA32, AUTHOR={A. Grothendieck and M. Demazure}, TITLE={Schemas en groupes (SGA 3)}, PUBLISHER={Springer}, ADDRESS={Heidelberg}, YEAR={1970}, SERIES={Lecture Notes in Math. 152}} @BOOK{SGA33, AUTHOR={A. Grothendieck and M. Demazure}, TITLE={Schemas en groupes (SGA 3)}, PUBLISHER={Springer}, ADDRESS={Heidelberg}, YEAR={1970}, SERIES={Lecture Notes in Math. 153}} @BOOK{SGA4, AUTHOR={A. Grothendieck and M. Artin and J.-L. Verdier}, TITLE={Theorie des topos et cohomologie etale des schemas (SGA 4)}, PUBLISHER={Springer}, ADDRESS={Heidelberg}, YEAR={1972-73}, SERIES={Lecture Notes in Math. 269,270,305}} @ARTICLE{HoveyStab, AUTHOR={Mark Hovey}, TITLE={Stabilization of model categories (revised)}, JOURNAL={Preprint}, VOLUME={hopf.math.purdue.edu}, YEAR={1999}} @BOOK{Hovey, AUTHOR={Mark Hovey}, TITLE={Model categories}, PUBLISHER={AMS}, ADDRESS={Providence}, YEAR={1999}} @BOOK{Hartshorn, AUTHOR={R. Hartshorne}, TITLE={Algebraic Geometry}, PUBLISHER={Springer-Verlag}, ADDRESS={Heidelberg}, YEAR={1971}} @ARTICLE{Hir, AUTHOR={H. Hironaka}, TITLE={Resolution of singularities of an algebraic variety over a field of characteristic zero}, JOURNAL={Ann. of Math.}, VOLUME={79}, YEAR={1964}, PAGES={109-326}} @BOOK{Hirs, AUTHOR={Philip Hirschhorn}, TITLE={Localization of Model Categories}, PUBLISHER={Preprint}, ADDRESS={http://www-math.mit.edu/{$_{\textstyle \tilde{}}\,$}psh/}, YEAR={2000}} @ARTICLE{Hunton, AUTHOR={J. R. Hunton}, TITLE={The {M}orava {$K$}-theories of wreath products}, JOURNAL={Math. Proc. Cambridge Phil. Soc.}, VOLUME={107}, YEAR={1990}, PAGES={309-318}} @BOOK{Illusie, AUTHOR={L. Illusie}, TITLE={Complexe Cotangent et Deformations I}, SERIES={Lecture Notes in Math.}, VOLUME={239}, PUBLISHER={Springer-Verlag}, YEAR={1971}} @ARTICLE{Jannsen, AUTHOR={U. Jannsen}, TITLE={Motives, numerical equivalence and semisimplicity}, JOURNAL={Inv. Math.}, YEAR={1992}, VOLUME={107}, NUMBER={3}, PAGES={447-452}} @ARTICLE{J1, AUTHOR={J.F. Jardine}, TITLE={Simplicial objects in a {G}rothendieck topos}, JOURNAL={Contemporary Math.}, VOLUME={55(1)}, YEAR={1986}, PAGES={193-239}} @ARTICLE{J2, AUTHOR={J.F. Jardine}, TITLE={Simplicial presheaves}, JOURNAL={J. Pure Appl. Algebra}, VOLUME={47}, YEAR={1987}, PAGES={35-87}} @ARTICLE{J3, AUTHOR={J.F. Jardine}, TITLE={Stable homotopy theory of simplicial presheaves}, JOURNAL={Canadian J. Math.}, VOLUME={39}, NUMBER={3}, YEAR={1987}, PAGES={733-747}} @article {GJ0, AUTHOR = {Goerss, P. G. and Jardine, J. F.}, TITLE = {Localization theories for simplicial presheaves}, JOURNAL = {Canad. J. Math.}, VOLUME = {50}, YEAR = {1998}, NUMBER = {5}, PAGES = {1048--1089}} @ARTICLE{Jouanolou, AUTHOR={J.-P. Jouanolou}, TITLE={Une suite exacte de {M}ayer-{V}ietoris en {$K$}-theorie algebrique}, JOURNAL={Lecture Notes in Math.}, VOLUME={341}, PAGES={293-317}, YEAR={1973}, PUBLISHER={Springer-Verlag}} @ARTICLE{Jo, AUTHOR={A. Joyal}, TITLE={Letter to {A}. {G}rothendieck}} @article {Kahn, AUTHOR = {Kahn, Bruno}, TITLE = {La conjecture de {M}ilnor (d'apr\`es {V}. {V}oevodsky)}, NOTE = {S\'eminaire Bourbaki, Vol.\ 1996/97}, JOURNAL = {Ast\'erisque}, FJOURNAL = {Ast\'erisque}, NUMBER = {245}, YEAR = {1997}, PAGES = {Exp.\ No.\ 834, 5, 379--418}, ISSN = {0303-1179}, MRCLASS = {19D45 (12G05 14C35)}, MRNUMBER = {2000a:19002}, MRREVIEWER = {Adrian R. Wadsworth}, } @ARTICLE{Karoubi1, AUTHOR={M. Karoubi}, TITLE={Theorie de {Q}uillen et homologie du groupe orthogonal}, JOURNAL={Ann. of Math.}, VOLUME={112}, YEAR={1980}, PAGES={207-238}} @ARTICLE{Karoubi2, AUTHOR={M. Karoubi}, TITLE={La theoreme fondamantal de la {$K$}-theorie {H}ermitienne}, JOURNAL={Ann. of Math.}, VOLUME={112}, YEAR={1980}, PAGES={239-282}} @ARTICLE{Karoubi3, AUTHOR={M. Karoubi}, TITLE={Periodicite de la {$K$}-theorie {H}ermitienne}, JOURNAL={Lecture Notes in Math.}, VOLUME={343}, YEAR={1973}, PAGES={301-411}} @ARTICLE{Karoubi4, AUTHOR={M. Karoubi}, TITLE={Localization de formes quadratiques {I}}, JOURNAL={Ann. Sci. Ec. Norm. Sup.}, VOLUME={7}, YEAR={1974}, PAGES={359-404}} @ARTICLE{Karoubi5, AUTHOR={M. Karoubi}, TITLE={Localization de formes quadratiques {II}}, JOURNAL={Ann. Sci. Ec. Norm. Sup.}, VOLUME={8}, YEAR={1975}, PAGES={99-155}} @ARTICLE{Karpenko, AUTHOR={Karpenko, Nikita}, TITLE={Characterization of minimal {P}fister neighbors via {R}ost projectors}, JOURNAL={J. Pure Appl. Algebra}, VOLUME={160}, YEAR={2001}, PAGES={195-227}} @ARTICLE{Kato, AUTHOR={Kato, Kazuya}, TITLE={A generalization of local class field theory by using {K}-groups, {II}}, JOURNAL={J. Fac. Sci., Univ Tokyo}, VOLUME={27}, YEAR={1980}, PAGES={603-683}} @INCOLLECTION{Kleiman2, AUTHOR={S. Kleiman}, TITLE={Algebraic cycles and the Weil conjectures}, BOOKTITLE={Dix exposes sur la cohomologie des schemas}, PAGES={359-386}, PUBLISHER={North-Holland}, ADDRESS={Amsterdam}, YEAR={1968}} @INPROCEEDINGS{Kleiman1, AUTHOR={S. Kleiman}, TITLE={Motives}, BOOKTITLE={Algebraic geometry. Proceedings of Fifth Nordic Summer-School in Math., Oslo 1970}, PUBLISHER={Wolters-Noordhoff}, YEAR={1970}, PAGES={53-82}, ADDRESS={Groningen}} @ARTICLE{Kraines, AUTHOR={D. Kraines}, TITLE={Massey higher products}, JOURNAL={Trans.AMS}, VOLUME={124}, YEAR={1966}, PAGES={431-449}} @ARTICLE{Kuhn, AUTHOR={N. J. Kuhn}, TITLE={Morava {$K$}-theories of some classifying spaces}, JOURNAL={AMS Trans.}, VOLUME={304}, YEAR={1987}, PAGES={193-205}} @BOOK{Lam, AUTHOR={T. Y. Lam}, TITLE={The algebraic theory of quadratic forms}, PUBLISHER={The Benjamin/Cummings Publ.}, ADDRESS={Reading, MA}, YEAR={1973}} @ARTICLE{Lan, AUTHOR={S. Landsburg}, TITLE={Relative cycles and algebraic {$K$}-theory}, JOURNAL={Amer. J. Math.}, VOLUME={111}, YEAR={1989}, PAGES={599-632}} @ARTICLE{Lawson, AUTHOR={H.B. Lawson}, TITLE={Algebraic cycles and homotopy theory}, JOURNAL={Ann. of Math.}, VOLUME={129}, YEAR={1989}, PAGES={599-632}} @article {Lazard, AUTHOR = {Lazard, Michel}, TITLE = {Lois de groupes et analyseurs}, JOURNAL = {Ann. Sci. Ecole Norm. Sup. (3)}, VOLUME = {72}, YEAR = {1955}, PAGES = {299--400}, MRCLASS = {20.0X}, MRNUMBER = {17,1053c}, MRREVIEWER = {C. Chevalley}, } @ARTICLE{Levine2, AUTHOR={M. Levine}, TITLE={Bloch's higher {C}how groups revisited}, JOURNAL={Preprint}, YEAR={1993}} @ARTICLE{Levine1, AUTHOR={M. Levine}, TITLE={Motivic cohomology and algebraic cycles: a categorical construction, {I}}, JOURNAL={Preprint}, YEAR={1993}} @ARTICLE{Licht, AUTHOR={Stephen Lichtenbaum}, TITLE={Suslin homology and {D}eligne 1-motives}, JOURNAL={Preprint}, YEAR={1992}} @INCOLLECTION{Licht2, AUTHOR={Stephen Lichtenbaum}, TITLE={Values of zeta-functions at non-negative integers}, BOOKTITLE={Number theory}, PAGES={127-138}, SERIES={Lecture Notes in Math.}, VOLUME={1068}, PUBLISHER={Springer-Verlag}, YEAR={1983}} @INCOLLECTION{Licht3, AUTHOR={Stephen Lichtenbaum}, TITLE={New results on weight-two motivic cohomology}, BOOKTITLE={The Grothendieck festchrift}, VOLUME={3}, PAGES={35-55}, PUBLISHER={Birkhauser}, ADDRESS={Boston}, YEAR={1990}} @ARTICLE{Loday1, AUTHOR={J. L. Loday}, TITLE={Higher {W}itt groups: a survey}, JOURNAL={Lecture Notes in Math.}, VOLUME={551}, PAGES={311-335}, YEAR={1976}} @ARTICLE{Manin, AUTHOR={Yu. Manin}, TITLE={Motifs and monoidal transformations}, JOURNAL={Math. of the USSR - Sbornik}, YEAR={1968}, VOLUME={6}, NUMBER={4}, PAGES={439-470}} @BOOK{McLane, AUTHOR={S. MacLane}, TITLE={Homology}, PUBLISHER={Springer-Verlag}, YEAR={1963}} @BOOK{McLane2, AUTHOR={S. MacLane}, TITLE={Categories for the working mathematician}, SERIES={Graduate texts in {M}athematics}, VOLUME={5}, PUBLISHER={Springer-Verlag}, YEAR={1971}} @BOOK{MM, AUTHOR={Saunders Mac Lane and Ieke Moerdijk}, TITLE={Sheaves in geometry and logic}, PUBLISHER={Springer-Verlag}, YEAR={1994}} @BOOK{Margolis, AUTHOR={H. R. Margolis}, TITLE={Spectra and {S}teenrod algebra}, PUBLISHER={North-Holland}, YEAR={1983}} @BOOK{Matsumura, AUTHOR={H. Matsumura}, TITLE={Commutative ring theory}, PUBLISHER={Cambridge University Press}, YEAR={1986}} @BOOK{Ma, AUTHOR={Peter May}, TITLE={Simplicial objects in algebraic topology}, PUBLISHER={Van Nostrand}, YEAR={1968}} @article {MayTT, AUTHOR = {May, J. P.}, TITLE = {The additivity of traces in triangulated categories}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {163}, YEAR = {2001}, NUMBER = {1}, PAGES = {34--73}, ISSN = {0001-8708}, CODEN = {ADMTA4}, MRCLASS = {18E30 (18D10)}, MRNUMBER = {2002k:18019}, MRREVIEWER = {Paul Balmer}, } @INCOLLECTION{Mayop, AUTHOR={Peter May}, TITLE={A general algberaic approach to {S}teenrod operations}, BOOKTITLE={The {S}teenrod algebra and its applications}, PAGES={153-231}, SERIES={Lecture Notes in Math.}, VOLUME={168}, PUBLISHER={Springer-Verlag}, YEAR={1970}} @BOOK{MW, AUTHOR={Vladimir Voevodsky Carlo Mazza and Charles Weibel}, TITLE={Lectures on motivic cohomology}, PUBLISHER={www.math.uiuc.edu/K-theory/486}, YEAR={2002}} @BOOK{MW1, AUTHOR={Vladimir Voevodsky Carlo Mazza and Charles Weibel}, TITLE={Lectures on motivic cohomology, I}, PUBLISHER={www.math.ias.edu/{$_{\textstyle \tilde{}}\,$}vladimir/seminar.html}, YEAR={2001}} @BOOK{MW2, AUTHOR={Vladimir Voevodsky Carlo Mazza and Charles Weibel}, TITLE={Lectures on motivic cohomology, II}, PUBLISHER={in preparation}, YEAR={2001}} @ARTICLE{Merkurjev, AUTHOR={Alexander Merkurjev}, TITLE={On the norm residue symbol of degree {2}}, JOURNAL={Sov. Math. Dokl.}, YEAR={1981}, PAGES={546-551}} @ARTICLE{MS1, AUTHOR={Alexander Merkurjev and Andrei Suslin}, TITLE={{$K$}-cohomology of {S}everi-{B}rauer varieties and the norm residue homomorphism}, JOURNAL={Math. USSR Izvestiya}, YEAR={1983}, VOLUME={21}, PAGES={307-340}} @ARTICLE{MS2, AUTHOR={Alexander Merkurjev and Andrei Suslin}, TITLE={The norm residue homomorphism of degree three}, JOURNAL={Math. USSR Izvestiya}, YEAR={1991}, VOLUME={36}, NUMBER={2}, PAGES={349-367}} @BOOK{Miln, AUTHOR={J.S. Milne}, TITLE={Etale Cohomology}, PUBLISHER={Princeton Univ. Press}, ADDRESS={Princeton, NJ}, YEAR={1980}} @BOOK{Miln3, AUTHOR={J.S. Milne}, TITLE={Arithmetic duality theorems}, PUBLISHER={Academic Press, Inc.}, ADDRESS={Boston}, YEAR={1986}} @INCOLLECTION{Miln2, AUTHOR={J.S. Milne}, TITLE={Jacobian varieties}, BOOKTITLE={Arithmetic geometry}, PUBLISHER={Springer-Verlag}, YEAR={1986}, ADDRESS={New York}} @ARTICLE{Milnor, AUTHOR={John Milnor}, TITLE={Algebraic {$K$}-theory and quadratic forms}, JOURNAL={Inv. Math.}, VOLUME={9}, YEAR={1970}, PAGES={318-344}} @BOOK{Milnor2, AUTHOR={John Milnor}, TITLE={Introduction to Algebraic {$K$}-theory}, PUBLISHER={Princeton Univ. Press}, ADDRESS={Princeton, NJ}, YEAR={1971}} @ARTICLE{Milnor3, AUTHOR={John Milnor}, TITLE={The {S}teenrod algebra and its dual}, JOURNAL={Annals of Math.}, VOLUME={67}, NUMBER={1}, YEAR={1958}, PAGES={150-171}} @ARTICLE{Mitchell, AUTHOR={S. A. Mitchell}, TITLE={Finite complexes with {$A(n)$}-free cohomology}, JOURNAL={Topology}, VOLUME={24}, YEAR={1985}, PAGES={227-248}} @ARTICLE{Morel1, AUTHOR={Fabien Morel}, TITLE={Suite spectrale d'{A}dams et invariants cohomologiques des formes quadratiques}, JOURNAL={C.R.Acad.Sci.Paris}, VOLUME={328}, SERIES={1}, PAGES={963-968}, YEAR={1999}} @ARTICLE{Morel2, AUTHOR={Fabien Morel}, TITLE={Suite spectrale d'{A}dams et conjectures de {M}ilnor}, JOURNAL={www.math.jussieu.fr/morel}, YEAR={1999}} @ARTICLE{Mh, AUTHOR={Fabien Morel}, TITLE={The homotopy t-structure of the stable homotopy category of schemes}, JOURNAL={www.math.jussieu.fr/morel}, YEAR={1999}} @ARTICLE{MoVo, AUTHOR={Fabien Morel and Vladimir Voevodsky}, TITLE={{${\bf A}^1$}-homotopy theory of schemes}, JOURNAL={Publ. Math. IHES}, NUMBER={90}, PAGES={45-143}, YEAR={1999}} @ARTICLE{Nagata, AUTHOR={M. Nagata}, TITLE={Imbedding of an abstract variety in a complete variety}, JOURNAL={J. Math. Kyoto Univ.}, VOLUME={2}, YEAR={1962}, PAGES={1-10}} @ARTICLE{Nakaoka1, AUTHOR={M. Nakaoka}, TITLE={Cohomology mod p of symmetric products of spheres}, JOURNAL={J. of the Inst. Polytechnics at Osaka}, VOLUME={9}, NUMBER={1}, YEAR={1957}, PAGES={1-18}} @ARTICLE{Nakaoka2, AUTHOR={M. Nakaoka}, TITLE={Cohomology mod p of symmetric products of spheres II}, JOURNAL={J. of the Inst. Polytechnics at Osaka}, VOLUME={10}, NUMBER={2}, YEAR={1959}, PAGES={67-90}} @ARTICLE{Nart, AUTHOR={E. Nart}, TITLE={The {B}loch complex in codimension one and arithmetic duality}, JOURNAL={Journal of Number Theory}, VOLUME={32}, NUMBER={3}, YEAR={1989}, PAGES={321-331}} @ARTICLE{Amnon1, AUTHOR={Amnon Neeman}, TITLE={The {G}rothendieck duality theorem via {B}ousfield's techniques and {B}rown representabilty}, JOURNAL={J. Amer. Math. Soc.}, VOLUME={9}, NUMBER={1}, PAGES={205-236}, YEAR={1996} } @ARTICLE{Nee, AUTHOR={Amnon Neeman}, TITLE={Triangulated categories}, PUBLISHER={Princeton University Press}, SERIES={Ann. of Math. Studies}, VOLUME={148}, YEAR={2001} } @ARTICLE{NS, AUTHOR={Yu. P. Nesterenko and A.Suslin}, TITLE={Homology of the general linear group over a local ring and {M}ilnor {$K$}-theory}, JOURNAL={Izv. AN SSSR}, VOLUME={}, PAGES={}, YEAR={}} @INCOLLECTION{Nisnevich, AUTHOR={Y. Nisnevich}, TITLE={The completely decomposed topology on schemes and associated descent spectral sequences in algebraic {$K$}-theory}, BOOKTITLE={Algebraic {$K$}-theory: connections with geometry and topology}, PUBLISHER={Kluwer Acad. Publ.}, YEAR={1989}, PAGES={241-342}, ADDRESS={Dordrecht}} @ARTICLE{novikov, AUTHOR={Sergei P. Novikov}, TITLE={Methods of algebraic topology from the point of view of cobordism theory ({R}ussian)}, JOURNAL={Izv. AN SSSR}, VOLUME={31}, PAGES={855-951}, YEAR={1967}} @ARTICLE{OVV, AUTHOR={D. Orlov and A. Vishik and Vladimir Voevodsky}, TITLE={An exact sequence for {M}ilnor's {$K$}-theory with applications to quadratic forms}, JOURNAL={www.math.uiuc.edu/K-theory/0454}, YEAR={2000}} @ARTICLE{Oruc, AUTHOR={M. Y. Oruc}, TITLE={The equivariant {S}teenrod algebra}, JOURNAL={Topology and its Applications}, VOLUME={32}, PAGES={77-108}, YEAR={1989}} @ARTICLE{Pardon1, AUTHOR={W. Pardon}, TITLE={The exact sequence of a localization for {W}itt groups}, JOURNAL={Lecture Notes in Math.}, VOLUME={551}, PAGES={336-379}, YEAR={1976}} @ARTICLE{Power, AUTHOR={A. J. Power}, TITLE={A 2-categorical pasting theorem}, JOURNAL={Journal of Algebra}, VOLUME={129}, PAGES={439-445}, YEAR={1990}} @BOOK{Quillen, AUTHOR={D. Quillen}, TITLE={Homotopical algebra}, PUBLISHER={Springer-Verlag}, ADDRESS={Berlin}, YEAR={1973}, SERIES={Lecture Notes in Math. 43}} @BOOK{Rav2, AUTHOR={Douglas C. Ravenel}, TITLE={Complex cobordism and stable homotopy groups of spheres}, PUBLISHER={Academic Press, Inc.}, YEAR={1986} } @BOOK{Rav1, AUTHOR={Douglas C. Ravenel}, TITLE={Nilpotence and periodicity in stable homotopy theory}, PUBLISHER={Princeton}, YEAR={1992}, SERIES={Ann. of Math. Studies 128}} @ARTICLE{Raynaud, AUTHOR={M. Raynaud and L. Gruson}, TITLE={Criteres de Platitude et de Projectivite}, JOURNAL={Inv. Math.}, VOLUME={13}, YEAR={1971}, PAGES={1-89}} @INCOLLECTION{Roberts, AUTHOR={J. Roberts}, TITLE={Chow's moving lemma}, BOOKTITLE={Algebraic geometry}, PAGES={89-96}, ADDRESS={Oslo}, PUBLISHER={Wolters-Noordhof Publ.}, YEAR={1970}} @ARTICLE{Rost1, AUTHOR={Markus Rost}, TITLE={On the spinor norm and {$A_0(X,K_1)$} for quadrics}, JOURNAL={www.math.ohio-state.edu/{$_{\textstyle \tilde{}}\,$}rost/spinor.html}, YEAR={1988}} @ARTICLE{Rost2, AUTHOR={Markus Rost}, TITLE={Some new results on the {C}howgroups of quadrics}, JOURNAL={www.math.ohio-state.edu/{$_{\textstyle \tilde{}}\,$}rost/chowqudr.html}, YEAR={1990}} @ARTICLE{Rost2a, AUTHOR={Markus Rost}, TITLE={The motive of a {P}fister form}, JOURNAL={www.math.ohio-state.edu/{$_{\textstyle \tilde{}}\,$}rost/motive.html}, YEAR={1998}} @ARTICLE{Rost3, AUTHOR={Markus Rost}, TITLE={Hilbert {90} for {$K_3$} for degree-two extensions}, JOURNAL={www.math.ohio-state.edu/{$_{\textstyle \tilde{}}\,$}rost/K3-86.html}, YEAR={1986}} @article {Rost:96, MR = {98a:14006}, ZBL = {864.14002}, AUTHOR = {Rost, Markus}, TITLE = {Chow groups with coefficients}, JOURNAL = {Doc. Math.}, FJOURNAL = {Documenta Mathematica}, VOLUME = {1}, YEAR = {1996}, PAGES = {No. 16, 319--393 (electronic)}, ISSN = {1431-0643}, url = {http://www.mathematik.uni-bielefeld.de/DMV-J/vol-01/16.html}, } @BOOK{Samuel, AUTHOR={P. Samuel}, TITLE={Methodes d'algebre abstraite en geometrie algebrique}, PUBLISHER={Springer-Verlag}, ADDRESS={Berlin}, YEAR={1955}, SERIES={Ergebnisse der Mathematik, N.F.4}} @ARTICLE{Segal, AUTHOR={G. B. Segal}, TITLE={Classifying spaces and spectral sequences}, JOURNAL={Publ. Math. IHES}, VOLUME={34}, PAGES={105-112}, YEAR={1968}} @ARTICLE{Serre, AUTHOR={J.-P. Serre}, TITLE={Algebre locale. {M}ultiplicities}, JOURNAL={Lecture Notes in Math.}, VOLUME={11}, YEAR={1965}} @BOOK{Serre2, AUTHOR={J.-P. Serre}, TITLE={Corps locaux}, PUBLISHER={Hermann}, ADDRESS={Paris}, YEAR={1968}} @BOOK{Safar, AUTHOR={I.R. Shafarevich}, TITLE={Basic algebraic geometry}, PUBLISHER={Springer-Verlag}, ADDRESS={New York}, YEAR={1974}} @ARTICLE{Smith, AUTHOR={M. Hovey and B. Shipley and J. Smith}, TITLE={Symmetric spectra}, JOURNAL={Preprint}, YEAR={1996}} @ARTICLE{Song1, AUTHOR={Y. Song}, TITLE={{V}olodin model for {H}ermitian algebraic {$K$}-theory}, JOURNAL={{$K$}-theory}, VOLUME={5}, NUMBER={6}, YEAR={1991/92}, PAGES={485-502}} @ARTICLE{Song2, AUTHOR={Y. Song}, TITLE={Relative {H}ermitian algebraic {$K$}-theory and diherdal homology}, JOURNAL={{$K$}-theory}, VOLUME={5}, NUMBER={6}, YEAR={1991/92}, PAGES={503-530}} @BOOK{SE, AUTHOR={N. E. Steenrod and D. B. Epstein}, TITLE={Cohomology operations}, PUBLISHER={Princeton Univ. Press}, ADDRESS={Princeton}, YEAR={1962}} @BOOK{Stong, AUTHOR={R. E. Stong}, TITLE={Notes on cobordism theory}, PUBLISHER={Princeton Univ. Press}, ADDRESS={Princeton}, YEAR={1968}} @ARTICLE{Suslin1, AUTHOR={Andrei Suslin}, TITLE={On the {$K$}-theory of algebraically closed fields}, JOURNAL={Invent. Math}, VOLUME={73}, YEAR={1983}, PAGES={241-245}} @ARTICLE{Suslin4, AUTHOR={Andrei Suslin}, TITLE={Algebraic {$K$}-theory and the norm residue homomorphism}, JOURNAL={J. Soviet Math.}, VOLUME={30}, YEAR={1985}, PAGES={2556-2611}} @ARTICLE{Suslin2, AUTHOR={Andrei Suslin}, TITLE={Algebraic {$K$}-theory of fields}, JOURNAL={Proceedings of ICM Berkeley}, YEAR={1986}, PAGES={222-244}} @ARTICLE{Suslin3, AUTHOR={Andrei Suslin}, TITLE={Higher {C}how groups and etale cohomology}, JOURNAL={www.math.uiuc.edu/K-theory/368}, YEAR={1995} } @INCOLLECTION{Suslin3new, AUTHOR={Andrei Suslin}, TITLE={Higher {C}how groups and etale cohomology}, BOOKTITLE={Cycles, transfers and motivic homology theories}, PAGES={239-254}, PUBLISHER={Princeton Univ. Press}, YEAR={2000} } {SusVoe3, AUTHOR={Andrei Suslin and Vladimir Voevodsky}, TITLE={{B}loch-{$K$}ato conjecture and motivic cohomology with finite coefficients}, BOOKTITLE={The arithmetic and geometry of algebraic cycles}, PAGES={117-189}, PUBLISHER={Kluwer}, YEAR={2000}} @ARTICLE{SusVoe, AUTHOR={Anderei Suslin and Vladimir Voevodsky}, TITLE={Singular homology of abstract algebraic varieties. www.math.uiuc.edu/K-theory/32}, JOURNAL={Inv. Math.}, VOLUME={123}, PAGES={61-94}, YEAR={1996} } %www.math.uiuc.edu/K-theory/32 @ARTICLE{SusVoe2, AUTHOR={Andrei Suslin and Vladimir Voevodsky}, TITLE={Relative cycles and {C}how sheaves}, JOURNAL={www.math.uiuc.edu/K-theory/35}, YEAR={1994} } @INCOLLECTION{SusVoe2new, AUTHOR={Andrei Suslin and Vladimir Voevodsky}, TITLE={Relative cycles and {C}how sheaves}, BOOKTITLE={Cycles, transfers and motivic homology theories}, PAGES={10-86}, SERIES={Annals of Math Studies}, PUBLISHER={Princeton Univ. Press}, YEAR={2000}} @INCOLLECTION{SusVoe3, AUTHOR={Andrei Suslin and Vladimir Voevodsky}, TITLE={{B}loch-{K}ato conjecture and motivic cohomology with finite coefficients}, BOOKTITLE={The arithmetic and geometry of algebraic cycles}, PAGES={117-189}, PUBLISHER={Kluwer}, YEAR={2000}} @ARTICLE{Swan, AUTHOR={Richard G. Swan}, TITLE={On Seminormality}, JOURNAL={J. of Algebra}, YEAR={1980}, VOLUME={67}, NUMBER={1}, PAGES={210-229}} @INPROCEEDINGS{Swan2, AUTHOR={Richard G. Swan}, TITLE={Nonabelian homological algebra and ${K}$-theory}, BOOKTITLE={Proceedings of symposia in pure mathematics}, VOLUME={17}, PAGES={88-123}, PUBLISHER={AMS}, ADDRESS={Providens}, YEAR={1970}} @article {Tate, AUTHOR = {Tate, John}, TITLE = {Relations between ${K\sb{2}}$ and {G}alois cohomology}, JOURNAL = {Invent. Math.}, VOLUME = {36}, YEAR = {1976}, PAGES = {257--274}, MRCLASS = {12A60 (12A65)}, MRNUMBER = {55 \#2847}, MRREVIEWER = {Alan Candiotti}, } @ARTICLE{thesis, AUTHOR={Vladimir Voevodsky}, TITLE={Homology of schemes and covariant motives}, JOURNAL={Harvard Univ. Ph.D. thesis}, YEAR={1992}} @ARTICLE{Thomason1, AUTHOR={R. Thomason}, TITLE={Algebraic ${K}$-theory and etale cohomology}, JOURNAL={Ann. Sci. ENS}, VOLUME={18}, YEAR={1985}, PAGES={437-552}} @INCOLLECTION{T2, AUTHOR={R. Thomason and T. Trobaugh}, TITLE={Higher algebraic ${K}$-theory of schemes and of derived categories}, BOOKTITLE={The Grothendieck festchrift}, VOLUME={3}, PUBLISHER={Birkhauser}, ADDRESS={Boston}, YEAR={1990}, PAGES={247-436}} @ARTICLE{H1, AUTHOR={Vladimir Voevodsky}, TITLE={Homology of schemes}, JOURNAL={Selecta Mathematica, New Series}, YEAR={1996}, VOLUME={2}, NUMBER={1}, PAGES={111-153}} @ARTICLE{H2, AUTHOR={Vladimir Voevodsky}, TITLE={Cohomological theory of presheaves with transfers}, JOURNAL={www.math.uiuc.edu/K-theory/368}, YEAR={1995}} @INCOLLECTION{H2new, AUTHOR={Vladimir Voevodsky}, TITLE={Cohomological theory of presheaves with transfers}, BOOKTITLE={Cycles, transfers and motivic homology theories}, PAGES={87-137}, SERIES={Annals of Math Studies}, PUBLISHER={Princeton Univ. Press}, YEAR={2000}} @ARTICLE{H3, AUTHOR={Vladimir Voevodsky}, TITLE={Triangulated categories of motives over a field}, JOURNAL={www.math.uiuc.edu/K-theory/74}, YEAR={1995}} @INCOLLECTION{H3new, AUTHOR={Vladimir Voevodsky}, TITLE={Triangulated categories of motives over a field}, BOOKTITLE={Cycles, transfers and motivic homology theories}, PAGES={188-238}, SERIES={Annals of Math Studies}, PUBLISHER={Princeton Univ. Press}, YEAR={2000}} @ARTICLE{Sasha, AUTHOR={Vladimir Voevodsky}, TITLE={Letter to {A.B}eilinson}, YEAR={1993}, JOURNAL={www.math.uiuc.edu/K-theory/33}} @BOOK{collection, AUTHOR={Vladimir Voevodsky and Eric M. Friedlander and Andrei Suslin}, TITLE={Cycles, transfers and motivic homology theories}, PUBLISHER={Princeton University Press}, YEAR={2000}} @ARTICLE{H5, AUTHOR={Vladimir Voevodsky}, TITLE={Algebraic {M}orava ${K}$-theories and the {B}loch-{K}ato conjecture for {${\bf Z}/2$} coefficients}, JOURNAL={www.math.uiuc.edu/K-theory/76}, YEAR={1995} } @ARTICLE{new, AUTHOR={Vladimir Voevodsky}, TITLE={{$\af$-}homotopy theory and finite correspondences}, JOURNAL={In preparation} } @ARTICLE{functor, AUTHOR={Vladimir Voevodsky}, TITLE={Functoriality of the motivic stable homotopy categories}, JOURNAL={In preparation} } @article {comparison, AUTHOR = {Voevodsky, Vladimir}, TITLE = {Motivic cohomology groups are isomorphic to higher {C}how groups in any characteristic}, JOURNAL = {Int. Math. Res. Not.}, FJOURNAL = {International Mathematics Research Notices}, YEAR = {2002}, NUMBER = {7}, PAGES = {351--355}, ISSN = {1073-7928}, MRCLASS = {14F42}, MRNUMBER = {1 883 180}, } @INCOLLECTION{open, AUTHOR={Vladimir Voevodsky}, TITLE={Open problems in the motivic stable homotopy theory, {I}}, BOOKTITLE={Motives, Polylogarithms and Hodge Theory, Part {I}}, PAGES={3-35}, PUBLISHER={International Press}, YEAR={2002}} @ARTICLE{MC0, AUTHOR={Vladimir Voevodsky}, TITLE={{B}loch-{K}ato conjecture for $\zz/2$-coefficients and algebraic {M}orava ${K}$-theories}, JOURNAL={www.math.uiuc.edu/K-theory/76}, YEAR={1995}} @ARTICLE{MC, AUTHOR={Vladimir Voevodsky}, TITLE={The {M}ilnor {C}onjecture}, JOURNAL={www.math.uiuc.edu/K-theory/170}, YEAR={1996}} @ARTICLE{MCnew, AUTHOR={Vladimir Voevodsky}, TITLE={On 2-torsion in motivic cohomology}, JOURNAL={www.math.uiuc.edu/K-theory/502}, YEAR={2001}} @ARTICLE{MCpub, AUTHOR={Vladimir Voevodsky}, TITLE={Motivic cohomology with {${\bf Z}/2$}-coefficients}, JOURNAL={Pub. IHES}, YEAR={2003}} @ARTICLE{zl, AUTHOR={Vladimir Voevodsky}, TITLE={Motivic cohomology with {${\bf Z}/l$}-coefficients}, JOURNAL={www.math.uiuc.edu/K-theory/639}, YEAR={2003}} @ARTICLE{framed, AUTHOR={Vladimir Voevodsky}, TITLE={Framed Correspondences}, JOURNAL={in preparations}, YEAR={2003}} @ARTICLE{over, AUTHOR={Vladimir Voevodsky}, TITLE={Motives over simplicial schemes}, JOURNAL={www.math.uiuc.edu/K-theory/638}, YEAR={2003}} @ARTICLE{HH0, AUTHOR={Vladimir Voevodsky}, TITLE={{$\Delta$}-closed classes}, JOURNAL={www.math.uiuc.edu/K-theory/442}, YEAR={2000}} @ARTICLE{HH1, AUTHOR={Vladimir Voevodsky}, TITLE={Homotopy theory of simplicial sheaves in completely decomposable topologies}, JOURNAL={www.math.uiuc.edu/K-theory/443}, YEAR={2000}} @ARTICLE{HH2, AUTHOR={Vladimir Voevodsky}, TITLE={Motivic homotopy categories in Nisnevich and cdh-topologies}, JOURNAL={www.math.uiuc.edu/K-theory/444}, YEAR={2000}} @ARTICLE{HH3, AUTHOR={Vladimir Voevodsky}, TITLE={Homotopy properties of twisted product functors}, JOURNAL={in preparation}, YEAR={2000}} @incollection {newapproach, AUTHOR = {Voevodsky, Vladimir}, TITLE = {A possible new approach to the motivic spectral sequence for algebraic {$K$}-theory}, BOOKTITLE = {Recent progress in homotopy theory (Baltimore, MD, 2000)}, SERIES = {Contemp. Math.}, VOLUME = {293}, PAGES = {371--379}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {2002}, MRCLASS = {55P42 (14F42 19E15 55P43)}, MRNUMBER = {2003g:55011}, MRREVIEWER = {Po Hu}, } @ARTICLE{newap, AUTHOR={Vladimir Voevodsky}, TITLE={A possible new approach to the motivic spectral sequence}, JOURNAL={www.math.uiuc.edu/K-theory/469}, YEAR={2001}} @ARTICLE{zslice, AUTHOR={Vladimir Voevodsky}, TITLE={On the zero slice of the sphere spectrum}, JOURNAL={www.math.uiuc.edu/K-theory/612}, YEAR={2002}} @ARTICLE{Red, AUTHOR={Vladimir Voevodsky}, TITLE={Reduced power operations in motivic cohomology}, JOURNAL={www.math.uiuc.edu/K-theory/487}, YEAR={2001}} @ARTICLE{Redpub, AUTHOR={Vladimir Voevodsky}, TITLE={Reduced power operations in motivic cohomology}, JOURNAL={Publ. IHES}, YEAR={2003}} @INPROCEEDINGS{talk, AUTHOR={Vladimir Voevodsky}, TITLE={The {$\af$}-homotopy theory}, BOOKTITLE={Proceedings of the international congress of mathematicians}, VOLUME={1}, PAGES={579-604}, ADDRESS={Berlin}, YEAR={1998}} @ARTICLE{CC, AUTHOR={Vladimir Voevodsky and Carlo Mazza and Charles Weibel}, TITLE={Lectures on motivic cohomology}, JOURNAL={www.math.uiuc.edu/K-theory/486}, YEAR={2000}} @ARTICLE{cancellation, AUTHOR={Vladimir Voevodsky}, TITLE={Cancellation theorem}, JOURNAL={www.math.uiuc.edu/K-theory/541}, YEAR={2002}} @ARTICLE{delnotes, AUTHOR={Vladimir Voevodsky}, TITLE={Lectures on motivic cohomology 2000/2001 (written by {P}ierre {D}eligne)}, JOURNAL={www.math.uiuc.edu/K-theory/527}, YEAR={2000/2001}} @ARTICLE{Weibel, AUTHOR={C. Weibel}, TITLE={Homotopy ${K}$-theory}, JOURNAL={Contemp. Math.}, VOLUME={83}, YEAR={1987}, PAGES={461-488}} @book {Chuck, AUTHOR = {Weibel, Charles A.}, TITLE = {An introduction to homological algebra}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {1994}} @book {W, AUTHOR = {Weibel, Charles A.}, TITLE = {An introduction to homological algebra}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {1994}}