| 书目名称 | Differential Forms in Algebraic Topology | | 编辑 | Raoul Bott,Loring W. Tu | | 视频video | | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. Accord ingly, we move primarily in the realm of smooth manifolds and use the de Rham theory as a prototype of all of cohomology. For applications to homotopy theory we also discuss by way of analogy cohomology with arbitrary coefficients. Although we have in mind an audience with prior exposure to algebraic or differential topology, for the most part a good knowledge of linear algebra, advanced calculus, and point-set topology should suffice. Some acquaintance with manifolds, simplicial complexes, singular homology and cohomology, and homotopy groups is helpful, but not really necessary. Within the text itself we have stated with care the more advanced results that are needed, so that a mathematically mature reader who accepts these background materials on faith should be able to read the entire book with the minimal prerequisites. There aremore materials here than can be reasonably covered in a one-semester course. Certain sections may be omitted at first reading with out loss of continuity. We have indicated these in the schematic dia | | 出版日期 | Textbook 1982 | | 关键词 | Algebraic; Algebraic topology; Algebraische Topologie; Characteristic class; Homotopy; Topology; cohomolog | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-3951-0 | | isbn_softcover | 978-1-4419-2815-3 | | isbn_ebook | 978-1-4757-3951-0Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media New York 1982 |
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发表于 2025-3-21 17:14:36
