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Singular Intersection Homology: New Mathematical Monographs, cartea 33

Autor Greg Friedman
en Limba Engleză Hardback – 23 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.
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Specificații

ISBN-13: 9781107150744
ISBN-10: 1107150744
Pagini: 869
Ilustrații: 61 b/w illus.
Dimensiuni: 250 x 175 x 50 mm
Greutate: 1.5 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria New Mathematical Monographs

Locul publicării:New York, United States

Cuprins

Preface; Notations and conventions; 1. Introduction; 2. Stratified spaces; 3. Intersection homology; 4. Basic properties of singular and PL intersection homology; 5. Mayer–Vietoris arguments and further properties of intersection homology; 6. Non-GM intersection homology; 7. Intersection cohomology and products; 8. Poincaré duality; 9. Witt spaces and IP spaces; 10. Suggestions for further reading; Appendix A. Algebra; Appendix B. An introduction to simplicial and PL topology; References; Glossary of symbols; Index.

Recenzii

'… a detailed and meticulous presentation of intersection homology by singular and PL chains.' Daniel Tanré, European Mathematical Society

Notă biografică


Descriere

The first expository book-length introduction to intersection homology from the viewpoint of singular and piecewise linear chains.