| 书目名称 | Local Homotopy Theory | | 编辑 | John F. Jardine | | 视频video | | | 概述 | Equips the reader with the background necessary to understand recent advances in homotopy theory and algebraic geometry.Written by one of the main contributors to the field.Goes beyond the formalism o | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | .This monograph on the homotopy theory of topologized diagrams of spaces and spectra gives an expert account of a subject at the foundation of motivic homotopy theory and the theory of topological modular forms in stable homotopy theory..Beginning with an introduction to the homotopy theory of simplicial sets and topos theory, the book covers core topics such as the unstable homotopy theory of simplicial presheaves and sheaves, localized theories, cocycles, descent theory, non-abelian cohomology, stacks, and local stable homotopy theory. A detailed treatment of the formalism of the subject is interwoven with explanations of the motivation, development, and nuances of ideas and results. The coherence of the abstract theory is elucidated through the use of widely applicable tools, such as Barr‘s theorem on Boolean localization, model structures on the category of simplicial presheaves on a site, and cocycle categories. A wealth of concrete examples convey the vitality and importance of the subject in topology, number theory, algebraic geometry, and algebraic .K-.theory..Assuming basic knowledge of algebraic geometry and homotopy theory, .Local Homotopy Theory. will appeal to research | | 出版日期 | Book 2015 | | 关键词 | algebraic K-theory; higher category theory; homotopical algebra; homotopy theory; model categories; motiv | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4939-2300-7 | | isbn_softcover | 978-1-4939-4044-8 | | isbn_ebook | 978-1-4939-2300-7Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag New York 2015 |
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发表于 2025-3-21 17:04:27
