Book contents
- Frontmatter
- Dedication
- 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 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
7 - Intersection Cohomology and Products
Published online by Cambridge University Press: 18 September 2020
Book contents
- Frontmatter
- Dedication
- 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 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
Summary
We develop intersection cohomology and versions of the cup, cap, and cohomology cross products. We prove all the expected properties about these products, including versions of naturality, commutativity, associativity, existence of units, stability, and properties about the compositions of different products. We also introduce intersection cohomology with compact supports and study its properties.
- Type
- Chapter
- Information
- Singular Intersection Homology , pp. 353 - 497Publisher: Cambridge University PressPrint publication year: 2020