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Generalized Etale Cohomology Theories (Progress in Mathematics) [Hardcover]

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Item description for Generalized Etale Cohomology Theories (Progress in Mathematics) by 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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Item Specifications...


Pages   332
Est. Packaging Dimensions:   Length: 9.2" Width: 6" Height: 0.9"
Weight:   1.2 lbs.
Binding  Hardcover
Release Date   Feb 4, 2004
Publisher   Birkhäuser Basel
ISBN  3764354941  
ISBN13  9783764354947  


Availability  0 units.


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1Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Algebra & Trigonometry
2Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Geometry
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Algebraic Geometry
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Algebra > General
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6Books > Subjects > Science > Mathematics > General
7Books > Subjects > Science > Mathematics > Geometry & Topology > Algebraic Geometry
8Books > Subjects > Science > Mathematics > Geometry & Topology > General Geometry
9Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > General



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