@article{ASENS_2000_4_33_5_647_0,
author = {Kapovich, Michael and Kleiner, Bruce},
title = {Hyperbolic groups with low-dimensional boundary},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
volume = {33},
year = {2000},
pages = {647-669},
doi = {10.1016/s0012-9593(00)01049-1},
mrnumber = {2002j:20077},
zbl = {0989.20031},
language = {en},
url = {http://dml.mathdoc.fr/item/ASENS_2000_4_33_5_647_0}
}
Kapovich, Michael; Kleiner, Bruce. Hyperbolic groups with low-dimensional boundary. Annales scientifiques de l'École Normale Supérieure, Tome 33 (2000) pp. 647-669. doi : 10.1016/s0012-9593(00)01049-1. http://gdmltest.u-ga.fr/item/ASENS_2000_4_33_5_647_0/
[1] , , , , , , , , , Notes on negatively curved groups, Preprint, 1989.
[2] , A characterization of the universal curve and a proof of its homogeneity, Ann. Math. 67 (1958) 313-324. | MR 20 #2675 | Zbl 0083.17607
[3] , One-dimensional continuous curves and a homogeneity theorem, Ann. Math. 68 (1958) 1-16. | MR 20 #2676 | Zbl 0083.17608
[4] , On convex polyhedra in Lobachevsky space, Math. USSR Sbornik 10 (1970) 413-440. | Zbl 0217.46801
[5] , Groupes hyperboliques de bord la courbe de Menger ou la courbe de Sierpinski, Preprint, Paris, 1991.
[6] , Characterizing k-dimensional universal Menger compacta, Mem. Amer. Math. Soc. 71 (380) (1988). | MR 89g:54083 | Zbl 0645.54029
[7] , Local homology properties of boundaries of groups, Mich. Math. J. 43 (1) (1996) 123-139. | MR 97a:57022 | Zbl 0872.57005
[8] , , Bounding the complexity of group actions on trees, Invent. Math. 103 (1991) 449-469. | MR 92c:20044 | Zbl 0724.20019
[9] , , A combination theorem for hyperbolic groups, J. Differential Geom. 35 (1992) 85-101. | MR 93d:53053 | Zbl 0724.57029
[10] , , Addendum and correction to : “A combination theorem for negatively curved groups”, J. Differential Geom. 43 (1996) 783-788. | MR 97h:53045 | Zbl 0862.57027
[11] , , The boundary of negatively curved groups, J. Amer. Math. Soc. 4 (1991) 469-481. | MR 93j:20076 | Zbl 0767.20014
[12] , Notes on Gromov's hyperbolicity criterion for path-metric spaces, in : Ghys E., Haefliger A., Verjovsky A. (Eds.), Group Theory from a Geometrical Point of View (ICTP, Trieste, April 1990), 1991, pp. 64-167. | MR 93h:57002 | Zbl 0843.20031
[13] , Connectedness properties of limit sets, Trans. Amer. Math. Soc. 351 (1999) 3673-3686. | MR 2000d:20056 | Zbl 0938.20033
[14] , A topological characterization of hyperbolic groups, J. Amer. Math. Soc. 11 (3) (1998) 643-667. | MR 99c:20048 | Zbl 0906.20022
[15] , Convergence groups and configuration spaces, in : Proceedings of the Camberra Group Theory Conference, 1996 (to appear). | Zbl 0952.20032
[16] , , Automorphisms of Surfaces After Nielsen and Thurston, Cambridge Univ. Press, 1983. | Zbl 0649.57008
[17] , , Convergence groups and Seifert fibered 3-manifolds, Invent. Math. 118 (F. 3) (1994) 441-456. | MR 96f:57011 | Zbl 0840.57005
[18] , Propriétés statistiques des groupes de presentation finie, Adv. Math. 116 (1995) 197-262. | MR 96m:20056 | Zbl 0847.20030
[19] , Topological immersion of Peanian continua in the spherical surface, Ann. Math. 35 (1924) 809-835. | JFM 60.0510.01 | Zbl 0010.27602
[20] , , Hyperbolization of polyhedra, J. Differential Geom. 34 (1991) 347-388. | MR 92h:57036 | Zbl 0723.57017
[21] , (private communication).
[22] , , Groups Acting on Graphs, Cambridge Studies in Advanced Mathematics, Vol. 17, 1989. | MR 91b:20001 | Zbl 0665.20001
[23] , , Visibility manifolds, Pacific J. Math. 46 (1973) 45-109. | MR 49 #1421 | Zbl 0264.53026
[24] , Convergence groups are Fuchsian groups, Ann. Math. 136 (1992) 447-510. | MR 93m:20065 | Zbl 0785.57004
[25] , , Sur les Groupes Hyperbolic d'Apres Mikhael Gromov, Progress in Mathematics, Vol. 83, Birkhäuser, 1990. | Zbl 0731.20025
[26] , Hyperbolic groups, in : Essays in Group Theory, Publications of MSRI, Vol. 8, 1987, pp. 75-264. | MR 89e:20070 | Zbl 0634.20015
[27] , Residual finiteness for 3-manifolds, in : Combinatorial Group Theory and Topology (Alta, Utah, 1984), Annals of Math. Studies, Vol. 111, Princeton Univ. Press, 1987, pp. 379-396. | MR 89b:57002 | Zbl 0772.57002
[28] , , Seifert fibred spaces in 3-manifolds, Mem. Amer. Math. Soc. 220 (1979). | Zbl 0415.57005
[29] , Homotopy-equivalences of 3-Manifolds with Boundary, Lect. Notes in Math., Vol. 761, Springer-Verlag, 1979. | MR 82c:57005 | Zbl 0412.57007
[30] , Deformations of representations of discrete subgroups of SO(3,1), Math. Ann. 299 (1994) 341-354. | MR 95d:57010 | Zbl 0828.57009
[31] , , Coarse Alexander duality and duality groups, Preprint, 1999.
[32] , , Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, Math. Publ. of Inst. Hautes Études Sci. 86 (1997) 115-197. | Numdam | MR 98m:53068 | Zbl 0910.53035
[33] , Height in splittings of hyperbolic groups, Preprint, 1997.
[34] , Remarks on the Claytor embedding theorem, Duke Math. J. 19 (1952) 199-202. | MR 14,396f | Zbl 0046.40304
[35] , Métriques de Carnot-Carathéodory et quasi-isométries des espaces symétriques de rang un, Ann. Math. 129 (1989) 1-60. | MR 90e:53058 | Zbl 0678.53042
[36] , Subgroups of small cancellation groups, Bull. London Math. Soc. 14 (1982) 45-47. | MR 83c:20049 | Zbl 0481.20020
[37] , The quasi-isometry classification of rank one lattices, Math. Publ. of Inst. Hautes Études Sci. 82 (1995) 133-168. | Numdam | MR 97c:22014 | Zbl 0852.22010
[38] , The geometries of 3-manifolds, Bull. London Math. Soc. 15 (1983) 401-487. | MR 84m:57009 | Zbl 0561.57001
[39] , , Topological methods in group theory, in : Homological Group Theory, London Math. Soc. Lecture Notes, Vol. 36, 1979, pp. 137-204. | MR 81m:57002 | Zbl 0423.20023
[40] , On torsion-free groups with infinitely many ends, Ann. Math. 88 (1968) 312-334. | MR 37 #4153 | Zbl 0238.20036
[41] , On the cut-point conjecture, Electronic Research Announcements of Amer. Math. Soc. 2 (1996) 98-100. | MR 97f:20048 | Zbl 0868.20032
[42] , Proof of a weak hyperbolization theorem, Preprint, 1998.
[43] , Homeomorphic conjugates of fuchsian groups, J. Reine Angew. Math. 391 (1988) 1-54. | MR 89m:30047 | Zbl 0644.30027
[44] , Convergence groups and Gromov's metric hyperbolic spaces, New Zealand J. Math. 23 (2) (1994) 157-187. | MR 96c:30042 | Zbl 0855.30036
[45] , Topological characterization of the Sierpinski curve, Fundamenta Math. 45 (1958) 320-324. | MR 20 #6077 | Zbl 0081.16904