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Equivariant ordinary homology and co...

Costenoble, Steven R.

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Equivariant ordinary homology and cohomology

Record Type:	Electronic resources : 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 ;2178..

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:

555733
Homology theory.

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

Dewey Class. No.: 514.23

Equivariant ordinary homology and cohomology
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100 1 $a Costenoble, Steven R. $3 3210139
245 1 0 $a Equivariant ordinary homology and cohomology $h [electronic resource] / $c by Steven R. Costenoble, Stefan Waner.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xiv, 294 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2178
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.
650 0 $a Homology theory. $3 555733
650 0 $a Algebraic topology. $3 532744
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Algebraic Topology. $3 891269
650 2 4 $a Manifolds and Cell Complexes (incl. Diff.Topology) $3 891270
650 2 4 $a Category Theory, Homological Algebra. $3 899944
650 2 4 $a Topological Groups, Lie Groups. $3 891005
700 1 $a Waner, Stefan. $3 3210140
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2178. $3 3210141
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-50448-3
950 $a Mathematics and Statistics (Springer-11649)