Boundaries of cocompact proper CAT(0) spaces

Topology

Volumn 46, Issue 2, 2007, Pages 129-137

  Geoghegan, Ross ^a   Ontaneda, Pedro ^a  

^a BINGHAMTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947374794     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.top.2006.12.002     Document Type: Article

References (18)

1. Benakli N., and Kapovich I. Boundaries of hyperbolic groups. In: Gilman R., et al. (Ed). Combinatorial and Geometric Group Theory. Contemporary Mathematics vol. 296 (2002) 39-94
2. Bieri R., and Geoghegan R. Connectivity properties of group actions on non-positively curved spaces. Mem. Amer. Math. Soc. 161 765 (2003)
3. Bestvina M. Local homology properties of boundaries of groups. Michigan Math. J. 43 1 (1996) 123-139
4. Bestvina M., and Mess G. The boundary of negatively curved groups. J. Amer. Math. Soc. 4 3 (1991) 469-481
5. Bridson M., and Haefliger A. Metric Spaces of Non-Positive Curvature. Grundlehren der Mathematischen Wissenschaften vol. 319 (1999), Springer-Verlag, Berlin
6. Brown K.S. Cohomology of Groups. Graduate Texts in Mathematics vol. 87 (1982), Springer-Verlag, New York, Berlin
7. Croke C., and Kleiner B. Spaces with nonpositive curvature and their ideal boundaries. Topology 39 3 (2000) 549-556
8. Dranishnikov A. On Bestvina-Mess formula. Topological and Asymptotic Aspects of Group Theory. Contemporary Mathematics vol. 394 (2006), American Mathematical Society, Providence
9. R. Geoghegan, Topological methods in group theory, monograph (in preparation)
10. Geoghegan R. The shape of a group-connections between shape theory and the homology of groups. Geometric and Algebraic Topology. Banach Center Publ. vol. 18 (1986), PWN, Warsaw 271-280
11. Geoghegan R., and Mihalik M. Free abelian cohomology of groups and ends of universal covers. J. Pure Appl. Algebra 36 (1985) 123-137
12. Gersten S. Quasi-isometry invariance of cohomological dimension. C. R. Acad. Sci. Paris Sci., Paris S r. I Math. 316 5 (1993) 411-416
13. Greenberg M.J., and Harper J.R. Algebraic Topology: A First Course. Math. Lecture Notes Series vol. 58 (1981), Benjamin/Cummings Publishing Co., Inc.
14. Hurewicz W., and Wallman H. Dimension Theory. Princeton Mathematical Series vol. 4 (1941), Princeton University Press, Princeton, NJ
15. Ontaneda P. Cocompact CAT(0) spaces are almost geodesically complete. Topology 44 (2005) 47-62
16. Spanier E.H. Algebraic Topology (1966), McGraw-Hill Book Co., New York, Toronto, London
17. Swenson E.L. A cut point theorem for CAT(0) groups. J. Differential Geom. 53 (1999) 327-358
18. Weil A. Sur les théorèmes de de Rham. Comment. Math. Helv. 26 (1952) 119-145