| 书目名称 | Equivariant Ordinary Homology and Cohomology | | 编辑 | Steven R. Costenoble,Stefan Waner | | 视频video | | | 概述 | A long-awaited detailed account of an ordinary equivariant (co)homology theory for compact Lie Group actions that is fully stable and has Poincaré Duality for all G-manifolds.Extends all the commonly | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .Filling a gap in the literature, this book takes the reader to the frontiers of equivariant topology, the study of objects with specified symmetries. The discussion is motivated by reference to a list of instructive “toy” examples and calculations in what is a relatively unexplored field. The authors also provide a reading path for the first-time reader less interested in working through sophisticated machinery but still desiring a rigorous understanding of the main concepts. The subject’s classical counterparts, ordinary homology and cohomology, dating back to the work of Henri Poincaré in topology, are calculational and theoretical tools which are important in many parts of mathematics and theoretical physics, particularly in the study of manifolds. Similarly powerful tools have been lacking, however, in the context of equivariant topology. Aimed at advanced graduate students and researchers in algebraic topology and related fields, the book assumes knowledge of basic algebraic topology and group actions.. . | | 出版日期 | Book 2016 | | 关键词 | 55N91, 55P91, 57R91, 55N25, 55P42, 55P20, 55R70, 55R91; Homology; equivariant; ordinary; cell complex | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-50448-3 | | isbn_softcover | 978-3-319-50447-6 | | isbn_ebook | 978-3-319-50448-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer International Publishing AG 2016 |
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发表于 2025-3-21 19:00:15
