Victor Percy Snaith, Robert Wayne Thomason
American Mathematical Soc., Jan 1, 1997 - Mathematics - 358 pages
The conference proceedings volume is produced in connection with the second Great Lakes K-theory Conference that was held at The Fields Institute for Research in Mathematical Sciences in March 1996. The volume is dedicated to the late Bob Thomason, one of the leading research mathematicians specializing in algebraic K-theory. In addition to research papers treated directly in the lectures at the conference, this volume contains the following: i) several timely articles inspired by those lectures (particularly by that of V. Voevodsky), ii) an extensive exposition by Steve Mitchell of Thomason's famous result concerning the relationship between algebraic K-theory and etale cohomology, iii) a definitive exposition by J-L. Colliot-Thelene, R. Hoobler, and B. Kahn (explaining and elaborating upon unpublished work of O. Gabber) of Bloch-Ogus-Gersten type resolutions in K-theory and algebraic geometry. This volume will be important both for researchers who want access to details of recent development in K-theory and also to graduate students and researchers seeking good advanced exposition.
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2-extension A'-theory abelian groups affine algebraic K-theory algebraically closed field associated axiom BGL(A bifibrant canonical Cech chain complex closed model category codimension cofibration cohomology theory colimit commutative diagram conjecture construction Corollary defined definition denote effaceable element etale cohomology exact categories exact sequence example filtered finite follows functor Galois extension Galois group given globally fibrant Grothendieck Hence holim homology homomorphism homotopy groups hypercohomology implies induced map induces an isomorphism injective integers invariant Lemma Let F locali2ation Math module morphism natural map natural transformation Nisnevich noetherian norm notation object p-adic p-adic local fields pointwise weak equivalence presheaf presheaf of spectra prime proof of Theorem Proposition quadratic quasi-isomorphism Quillen ramified residue field resp result ring satisfies scheme Section sheaf simplicial sets space Spec spectral sequence spectrum stalkwise weak equivalence structure subgroup Suppose surjective theory with supports Thomason topology torsion trivial ultrafilter universally exact unramified weak equivalence Zariski