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Equivariant Ordinary Homology and Cohomology

Equivariant Ordinary Homology and Cohomology
Catalogue Information
Field name Details
Dewey Class 514.2
Title Equivariant Ordinary Homology and Cohomology ([EBook]) / by Steven R. Costenoble, Stefan Waner.
Author Costenoble, Steven R.
Added Personal Name Waner, Stefan author.
Other name(s) SpringerLink (Online service)
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details XIV, 294 p. 1 illus. : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; ; 2178
ISBN 9783319504483
Summary Note 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. .:
Contents note 1 RO(G)-graded Ordinary Homology and Cohomology -- 2 Parametrized Homotopy Theory and Fundamental Groupoids -- 3 RO(ΠB)-graded Ordinary Homology and Cohomology.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-319-50448-3
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