Connectivity properties of group actions on non-positively curved spaces
Robert Bieri, Ross Geoghegan · Memoirs of the American Mathematical Society · 2003
Introduction Part 1. Controlled Connectivity and Openness Results: Outline, main results and examples Technicalities concerning the $CC^{n-1}$ property Finitary maps and sheaves of maps Sheaves and finitary maps over a control space Construction of sheaves with positive shift Controlled connectivity as an open condition Completion of the proofs of Theorems A and A The invariance theorem Part 2. The Geometric Invariants: Short summary of Part 2 Outline, main results and examples Further technicalities on $\mathrm{CAT}(0)$ spaces $CC^{n-1}$ over endpoints Finitary contractions towards endpoints From $CC^{n-1}$ over endpoints to contractions Proofs of Theorems E-H Appendix A: Alternative formulations of $CC^{n-1}$ Appendix B: Further formulations of $CC^{n-1}$ Bibliography.