Connectivity properties of group actions on non-positively curved spaces / Robert Bieri, Ross Geoghegan.

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Bibliographic Details
Main Author:	Bieri, Robert
Other Authors:	Geoghegan, Ross, 1963-
Format:	eBook
Language:	English
Published:	Providence, R.I. : American Mathematical Society, 2003.
Series:	Memoirs of the American Mathematical Society ; no. 765.
Subjects:	Geometric group theory. Connections (Mathematics) Global differential geometry. Geometric group theory Global differential geometry
Online Access:	Click for online access

Table of Contents:

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.

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