Generalized etale cohomology theories

J.F. Jardine

A generalized etale cohomology theory is a theory which is represented by a presheaf of spectra on an etale site for an algebraic variety, in analogy with the way an ordinary spectrum represents a cohomology theory for spaces. Examples include etale cohomology and etale K-theory. This book gives new and complete proofs of both Thomason's descent theorem for Bott periodic K-theory and the Nisnevich descent theorem. In doing so, it exposes most of the major ideas of the homotopy theory of presheaves of spectra, and generalized etale homology theories in particular. The treatment includes, for the purpose of adequately dealing with cup product structures, a development of stable homotopy theory for n-fold spectra, which is then promoted to the level of presheaves of n-fold spectra. This book should be of interest to all researchers working in fields related to algebraic K-theory. The techniques presented here are essentially combinatorial, and hence algebraic. An extensive background in traditional stable homotopy theory is not assumed.

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この本の情報

書名 Generalized etale cohomology theories
著作者等 Jardine, J. F.
Jardine John Frederick
Jardine J F
シリーズ名 Progress in mathematics
出版元 Birkhäuser Verlag
刊行年月 c1997
ページ数 x, 317 p.
大きさ 24 cm
ISBN 0817654941
3764354941
NCID BA29786896
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言語 英語
出版国 スイス
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