Singular Intersection Homology

ISBN-13: 9781107150744 / Angielski / Twarda / 2020 / 869 str.

Greg Friedman

Opis

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

Recenzje

'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, MathSciNet

Spis treści

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.