Algebraic & Geometric Topology Volume 14, issue 2 (2014)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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$\mathrm{CAT}(0)$ spaces with boundary the join of two Cantor sets

Khek Lun Harold Chao

Algebraic & Geometric Topology 14 (2014) 1107–1122

DOI: 10.2140/agt.2014.14.1107

Bibliography

1	A R Ahlin, The large scale geometry of products of trees, Geom. Dedicata 92 (2002) 179 MR1934017
2	W Ballmann, S Buyalo, Periodic rank one geodesics in Hadamard spaces, from: "Geometric and probabilistic structures in dynamics", Contemp. Math. 469, Amer. Math. Soc. (2008) 19 MR2478464
3	M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grundl. Math. Wissen. 319, Springer (1999) MR1744486
4	M Burger, S Mozes, Lattices in product of trees, Inst. Hautes Études Sci. Publ. Math. (2000) 151 MR1839489
5	P E Caprace, F Haglund, On geometric flats in the $\mathrm{CAT}(0)$ realization of Coxeter groups and Tits buildings, Canad. J. Math. 61 (2009) 740 MR2541383
6	P E Caprace, N Monod, Isometry groups of non-positively curved spaces: Structure theory, J. Topol. 2 (2009) 661 MR2574740
7	K Fujiwara, K Nagano, T Shioya, Fixed point sets of parabolic isometries of $\mathrm{CAT}(0)$–spaces, Comment. Math. Helv. 81 (2006) 305 MR2225630
8	M Kapovich, B Kleiner, The weak hyperbolization conjecture for $3$–dimensional $\mathrm{CAT}(0)$–groups, Groups Geom. Dyn. 1 (2007) 61 MR2294248
9	J F Manning, Geometry of pseudocharacters, Geom. Topol. 9 (2005) 1147 MR2174263
10	P Ontaneda, Some remarks on the geodesic completeness of compact nonpositively curved spaces, Geom. Dedicata 104 (2004) 25 MR2043952
11	P Papasoglu, E Swenson, Boundaries and JSJ decompositions of $\mathrm{CAT}(0)$–groups, Geom. Funct. Anal. 19 (2009) 559 MR2545250
12	K E Ruane, Dynamics of the action of a $\mathrm{CAT}(0)$ group on the boundary, Geom. Dedicata 84 (2001) 81 MR1825346
13	K Ruane, $\mathrm CAT(0)$ groups with specified boundary, Algebr. Geom. Topol. 6 (2006) 633 MR2220692
14	E L Swenson, A cut point theorem for $\mathrm{CAT}(0)$ groups, J. Differential Geom. 53 (1999) 327 MR1802725