Singular Intersection Homology
Published on 16. September 2020
824 pages
978-1-108-89536-1 (ISBN)
Description
Intersection homology is a version of homology theory that extends Poincare 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.
Reviews / Votes
'... a detailed and meticulous presentation of intersection homology by singular and PL chains.' Daniel Tanre, European Mathematical Society 'Overall, this monograph is a splendid introduction to noncommutative function-theoretic operator theory. Anyone interested in modern operator theory, function theory, and related areas of analysis will find this book a valuable reference.' Jaydeb Sarkar, MathSciNetMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises; 1 Tables, black and white; 13 Halftones, black and white; 48 Line drawings, black and white
File size
5,08 MB
ISBN-13
978-1-108-89536-1 (9781108895361)
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Schweitzer Classification
Other editions
Additional editions
Greg Friedman
Singular Intersection Homology
Book
09/2020
Cambridge University Press
€185.50
Shipment within 15-20 days
Person
Content
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. Poincare 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.
