| 书目名称 | Mod Two Homology and Cohomology | | 编辑 | Jean-Claude Hausmann | | 视频video | | | 概述 | Presents a simplified version of these important tools of algebraic topology.Provides a self-contained introduction to mod 2 (co)homology.Begins with basic principles and leads up to advanced topics t | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | .Cohomology and homology modulo 2 helps the reader grasp more readily the basics of a major tool in algebraic topology. Compared to a more general approach to (co)homology this refreshing approach has many pedagogical advantages:.1. It leads more quickly to the essentials of the subject,.2. An absence of signs and orientation considerations simplifies the theory,.3. Computations and advanced applications can be presented at an earlier stage, .4. Simple geometrical interpretations of (co)chains..Mod 2 (co)homology was developed in the first quarter of the twentieth century as an alternative to integral homology, before both became particular cases of (co)homology with arbitrary coefficients..The first chapters of this book may serve as a basis for a graduate-level introductory course to (co)homology. Simplicial and singular mod 2 (co)homology are introduced, with their products and Steenrod squares, as well as equivariant cohomology. Classical applications include Brouwer‘s fixed point theorem, Poincaré duality, Borsuk-Ulam theorem, Hopf invariant, Smith theory, Kervaire invariant, etc. The cohomology of flag manifolds is treated in detail (without spectral sequences), including the | | 出版日期 | Textbook 2014 | | 关键词 | Algebraic Topology; Cohomology; Homology | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-09354-3 | | isbn_softcover | 978-3-319-09353-6 | | isbn_ebook | 978-3-319-09354-3Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer International Publishing Switzerland 2014 |
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发表于 2025-3-21 18:40:36
