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Singular Intersection Homology

Singular Intersection Homology

Hardcover

Series: New Mathematical Monographs, Book 33

General Mathematics

ISBN10: 1107150744
ISBN13: 9781107150744
Publisher: Cambridge University Press
Published: Sep 24 2020
Pages: 824
Weight: 3.30
Height: 1.69 Width: 6.69 Depth: 9.61
Language: English
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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General Mathematics