Singular intersection homology
Author(s)
Bibliographic Information
Singular intersection homology
(New mathematical monographs, 33)
Cambridge University Press, 2020
- : hardback
Available at 12 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hardbackFRI||46||1200040923807
Note
Includes bibliographical references (p. 769-780) and index
Description and Table of Contents
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.
Table of Contents
- 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.
by "Nielsen BookData"