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Titlebook: Equivariant Ordinary Homology and Cohomology; Steven R. Costenoble,Stefan Waner Book 2016 Springer International Publishing AG 2016 55N91,

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發(fā)表于 2025-3-21 19:00:15 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Equivariant Ordinary Homology and Cohomology
編輯Steven R. Costenoble,Stefan Waner
視頻videohttp://file.papertrans.cn/314/313548/313548.mp4
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
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Equivariant Ordinary Homology and Cohomology;  Steven R. Costenoble,Stefan Waner Book 2016 Springer International Publishing AG 2016 55N91,
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
關(guān)鍵詞55N91, 55P91, 57R91, 55N25, 55P42, 55P20, 55R70, 55R91; Homology; equivariant; ordinary; cell complex
版次1
doihttps://doi.org/10.1007/978-3-319-50448-3
isbn_softcover978-3-319-50447-6
isbn_ebook978-3-319-50448-3Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing AG 2016
The information of publication is updating

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發(fā)表于 2025-3-21 23:07:56 | 只看該作者
Equivariant Ordinary Homology and Cohomology978-3-319-50448-3Series ISSN 0075-8434 Series E-ISSN 1617-9692
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,Pr?missen und Struktur der Expertise,eled on a single representation. To get Poincaré duality for general .-manifolds, we need to extend to a theory indexed on representations of .. (For simplicity of notation we shall now write . for ..) That is, the homology and cohomology of . should be graded on representations of .. A construction
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0075-8434 riant 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..?.978-3-319-50447-6978-3-319-50448-3Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Quellen des schwedischen Arbeitsrechts,rovide the grading for the extension of ordinary homology and cohomology we will define in Chap.?. The material from Costenoble et al. (Homology Homotopy Appl. 3:265–339, 2001) (electronic), Equivariant stable homotopy theory and related areas (Stanford, CA, 2000) that we need is recounted in Sect.?
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