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Connectivity properties of group actions on non-positively curved spaces
About this Title
Robert Bieri and Ross Geoghegan
Publication: Memoirs of the American Mathematical Society
Publication Year:
2003; Volume 161, Number 765
ISBNs: 978-0-8218-3184-7 (print); 978-1-4704-0363-8 (online)
DOI: https://doi.org/10.1090/memo/0765
MathSciNet review: 1950396
MSC: Primary 57M07; Secondary 20E08, 20F67, 53C23, 57N16
Table of Contents
Chapters
- 1. Introduction
- Part 1. Controlled connectivity and openness results
- 2. Outline, main results and examples
- 3. Technicalities concerning the $CC^{n-1}$ property
- 4. Finitary maps and sheaves of maps
- 5. Sheaves and finitary maps over a control space
- 6. Construction of sheaves with positive shift
- 7. Controlled connectivity as an open condition
- 8. Completion of the proofs of Theorems A and A′
- 9. The invariance theorem
- Part 2. The geometric invariants
- 10. Outline, main results and examples
- 11. Further technicalities on CAT(0) spaces
- 12. $CC^{n-1}$ over endpoints
- 13. Finitary contractions towards endpoints
- 14. From $CC^{n-1}$ over endpoints to contractions
- 15. Proofs of Theorems E-H