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Equivariant ordinary homology and cohomology

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Equivariant ordinary homology and cohomology/ by Steven R. Costenoble, Stefan Waner.
Author:	Costenoble, Steven R.
other author:	Waner, Stefan.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xiv, 294 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Homology theory. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-50448-3
ISBN:	9783319504483

Equivariant ordinary homology and cohomology
Costenoble, Steven R.

Equivariant ordinary homology and cohomology[electronic resource] /by Steven R. Costenoble, Stefan Waner. - Cham :Springer International Publishing :2016. - xiv, 294 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21780075-8434 ;. - Lecture notes in mathematics ;1943..

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 Poincare 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.

ISBN: 9783319504483

Standard No.: 10.1007/978-3-319-50448-3doiSubjects--Topical Terms:

682984
Homology theory.

LC Class. No.: QA612.3 / .C67 2016

Dewey Class. No.: 514.23

Equivariant ordinary homology and cohomology
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520 $a 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 Poincare 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.
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650 2 4 $a Manifolds and Cell Complexes (incl. Diff.Topology) $3 670183
650 2 4 $a Category Theory, Homological Algebra. $3 678397
650 2 4 $a Topological Groups, Lie Groups. $3 672074
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