Equivariant ordinary homology and cohomology /

Equivariant ordinary homology and cohomology /

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Bibliographic Details
Author / Creator:	Costenoble, Steven R., 1961- author.
Imprint:	Cham : Springer, [2016]
Description:	1 online resource (xiv, 294 pages) : illustrations
Language:	English
Series:	Lecture notes in mathematics, 1617-9692 ; 2178 Lecture notes in mathematics (Springer-Verlag) ; 2178.
Subject:	Homology theory. Algebraic topology. Algebraic topology. Homology theory.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11270819

Hidden Bibliographic Details
Other authors / contributors:	Waner, Stefan, 1949- author.
ISBN:	9783319504483 3319504487 9783319504476 3319504479
Digital file characteristics:	PDF text file
Notes:	Includes bibliographical references and index. Print version record.
Summary:	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
Other form:	Costenoble, Steven R. Equivariant ordinary homology and cohomology. Cham : Springer, 2016 3319504479
Standard no.:	10.1007/978-3-319-50448-3

Table of Contents:

1 RO(G)-graded Ordinary Homology and Cohomology
2 Parametrized Homotopy Theory and Fundamental Groupoids
3 RO(?B)-graded Ordinary Homology and Cohomology.