Algebraic & Geometric Topology Volume 8, issue 1 (2008)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Ideal boundary of $7$–systolic complexes and groups

Damian Osajda

Algebraic & Geometric Topology 8 (2008) 81–99

DOI: 10.2140/agt.2008.8.81

Bibliography

1	M Bestvina, G Mess, The boundary of negatively curved groups, J. Amer. Math. Soc. 4 (1991) 469 MR1096169
2	B H Bowditch, Cut points and canonical splittings of hyperbolic groups, Acta Math. 180 (1998) 145 MR1638764
3	M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften 319, Springer (1999) MR1744486
4	M Coornaert, T Delzant, A Papadopoulos, Géométrie et théorie des groupes, Lecture Notes in Mathematics 1441, Springer (1990) MR1075994
5	R J Daverman, Hereditarily aspherical compacta and cell-like maps, Topology Appl. 41 (1991) 247 MR1135101
6	R J Daverman, A N Dranishnikov, Cell-like maps and aspherical compacta, Illinois J. Math. 40 (1996) 77 MR1386313
7	J Dymara, D Osajda, Boundaries of right-angled hyperbolic buildings, Fund. Math. 197 (2007) 123
8	É Ghys, P d l Harpe, editors, Sur les groupes hyperboliques d'après Mikhael Gromov, Progress in Mathematics 83, Birkhäuser (1990) MR1086648
9	M Gromov, Hyperbolic groups, from: "Essays in group theory", Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
10	F Haglund, Complexes simpliciaux hyperboliques de grande dimension, Prepublication Orsay 71 (2003)
11	W Jakobsche, Homogeneous cohomology manifolds which are inverse limits, Fund. Math. 137 (1991) 81 MR1113561
12	T Januszkiewicz, J Światkowski, Nonpositively curved developments of billiards, submitted
13	T Januszkiewicz, J Światkowski, Simplicial nonpositive curvature, Publ. Math. Inst. Hautes Études Sci. (2006) 1 MR2264834
14	T Januszkiewicz, J Światkowski, Filling invariants of systolic complexes and groups, Geom. Topol. 11 (2007) 727 MR2302501
15	I Kapovich, N Benakli, Boundaries of hyperbolic groups, from: "Combinatorial and geometric group theory (New York, 2000/Hoboken, NJ, 2001)" (editors S Cleary, R Gilman, A G Myasnikov, V Shpilrain), Contemp. Math. 296, Amer. Math. Soc. (2002) 39 MR1921706
16	M Kapovich, B Kleiner, Hyperbolic groups with low-dimensional boundary, Ann. Sci. École Norm. Sup. $(4)$ 33 (2000) 647 MR1834498
17	D Osajda, Connectedness at infinity of systolic complexes and groups, Groups Geom. Dyn. 1 (2007) 183 MR2319456
18	P Przytycki, J Światkowski, Flag-no-square triangulations and Gromov boundaries in dimension 3, submitted
19	J R Stallings, On torsion-free groups with infinitely many ends, Ann. of Math. $(2)$ 88 (1968) 312 MR0228573
20	P Zawiślak, The Pontriagin sphere as a boundary of systolic groups, in preparation