Singular Intersection Homology

List 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. 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.

About the author

Greg Friedman is Professor of Mathematics at Texas Christian University. Professor Friedman's primary research is in geometric and algebraic topology with particular emphases on stratified spaces and high-dimensional knot theory. He has given introductory lecture series on intersection homology at the University of Lille and the Fields Institute for Research in Mathematical Sciences. He has received grants from the National Science Foundation and the Simons Foundation.

Product details

• Authors: Greg Friedman, Greg (Texas Christian University) Friedman, Friedman Greg
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 30.11.2020
• EAN: 9781107150744
• ISBN: 978-1-107-15074-4
• No. of pages: 869
• Series: New Mathematical Monographs
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, MATHEMATICS / Topology, Algebraic Topology