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Singular intersection homology

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Singular intersection homologyGreg Friedman.
作者:	Friedman, Greg.
出版者:	Cambridge :Cambridge University Press,2020.
面頁冊數:	xxiii, 798 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 21 Sep 2020).
標題:	Intersection homology theory.
電子資源:	https://doi.org/10.1017/9781316584446
ISBN:	9781316584446$q(electronic bk.)

Singular intersection homology
Friedman, Greg.

Singular intersection homology[electronic resource] /Greg Friedman. - Cambridge :Cambridge University Press,2020. - xxiii, 798 p. :ill., digital ;24 cm. - New mathematical monographs ;33. - New mathematical monographs ;30..

Title from publisher's bibliographic system (viewed on 21 Sep 2020).

Intersection homology is a version of homology theory that extends Poincaré duality and its applications to stratified spaces, such as singular varieties. This is the first comprehensive expository book-length introduction to intersection homology from the viewpoint of singular and piecewise-linear chains. Recent breakthroughs have made this approach viable by providing intersection homology and cohomology versions of all the standard tools in the homology tool box, making the subject readily accessible to graduate students and researchers in topology as well as researchers from other fields. This text includes both new research material and new proofs of previously-known results in intersection homology, as well as treatments of many classical topics in algebraic and manifold topology. Written in a detailed but expository style, this book is suitable as an introduction to intersection homology or as a thorough reference.

ISBN: 9781316584446$q(electronic bk.)Subjects--Topical Terms:

470574
Intersection homology theory.

LC Class. No.: QA612.32 / .F75 2020

Dewey Class. No.: 514.23

Singular intersection homology
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520 $a Intersection homology is a version of homology theory that extends Poincaré duality and its applications to stratified spaces, such as singular varieties. This is the first comprehensive expository book-length introduction to intersection homology from the viewpoint of singular and piecewise-linear chains. Recent breakthroughs have made this approach viable by providing intersection homology and cohomology versions of all the standard tools in the homology tool box, making the subject readily accessible to graduate students and researchers in topology as well as researchers from other fields. This text includes both new research material and new proofs of previously-known results in intersection homology, as well as treatments of many classical topics in algebraic and manifold topology. Written in a detailed but expository style, this book is suitable as an introduction to intersection homology or as a thorough reference.
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