| 书目名称 | Generalized Etale Cohomology Theories |
| 编辑 | John F. Jardine |
| 视频video | |
| 概述 | Highly original presentation.Provides new and complete proofs of important theorems.Very useful for researchers working in fields related to algebraic K-theory.Includes supplementary material: |
| 丛书名称 | Modern Birkhäuser Classics |
| 图书封面 |  |
| 描述 | .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.. .------ Reviews .(…) in developing the techniques of the subject, introduces the reader to the stable homotopy category of simplicial presheaves |
| 出版日期 | Book 1997 |
| 关键词 | Algebraic K-theory; Cohomology; K-theory; Thomason; algebra; cohomoloy theory; homotopy theory; proof; theor |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-0066-2 |
| isbn_softcover | 978-3-0348-0065-5 |
| isbn_ebook | 978-3-0348-0066-2Series ISSN 2197-1803 Series E-ISSN 2197-1811 |
| issn_series | 2197-1803 |
| copyright | Birkhäuser Verlag 1997 |
发表于 2025-3-21 19:05:00
