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＜E-Book＞
Equivariant Ordinary Homology and Cohomology / by Steven R. Costenoble, Stefan Waner
(Lecture Notes in Mathematics. ISSN:16179692 ; 2178)

Edition	1st ed. 2016.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2016
Size	XIV, 294 p. 1 illus : online resource
Authors	*Costenoble, Steven R author Waner, Stefan author SpringerLink (Online service)
Subjects	LCSH:Algebraic topology LCSH:Manifolds (Mathematics) LCSH:Algebra, Homological LCSH:Topological groups LCSH:Lie groups FREE:Algebraic Topology FREE:Manifolds and Cell Complexes FREE:Category Theory, Homological Algebra FREE:Topological Groups and Lie Groups
Notes	1 RO(G)-graded Ordinary Homology and Cohomology -- 2 Parametrized Homotopy Theory and Fundamental Groupoids -- 3 RO(ΠB)-graded Ordinary Homology and Cohomology 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. HTTP:URL=https://doi.org/10.1007/978-3-319-50448-3

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