书目名称 | Rational Homotopy Theory and Differential Forms |
编辑 | Phillip Griffiths,John Morgan |
视频video | |
概述 | Second edition with fully updated content.Includes a readable introduction for non-specialists.Provides many elementary examples and exercises |
丛书名称 | Progress in Mathematics |
图书封面 |  |
描述 | .This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham’s theorem on simplicial complexes. In addition, Sullivan’s results on computing the rational homotopy type from forms is presented. .New to the Second Edition: .*Fully-revised appendices including an expanded discussion of the Hirsch lemma.*Presentation of a natural proof of a Serre spectral sequence result .*Updated content throughout the book, reflecting advances in the area of homotopy theory.With its modern approach and timely revisions, this second edition of .Rational Homotopy Theory and Differential Forms. will be a valuable resource for graduate students and researchers in algebraic topology, differential forms, and homotopy theory. . |
出版日期 | Book 2013Latest edition |
关键词 | Brouwer‘s theorem; algebraic topology; cohomology; differential forms; homotopy; obstruction theory; ratio |
版次 | 2 |
doi | https://doi.org/10.1007/978-1-4614-8468-4 |
isbn_softcover | 978-1-4939-3699-1 |
isbn_ebook | 978-1-4614-8468-4Series ISSN 0743-1643 Series E-ISSN 2296-505X |
issn_series | 0743-1643 |
copyright | Springer Science+Business Media New York 2013 |