TY - JOUR
T1 - Spaces with nonpositive curvature and their ideal boundaries
AU - Croke, Christopher B.
AU - Kleiner, Bruce
N1 - Funding Information:
* Corresponding author. Tel.: #1-801-583-8594; fax: #1-801-581-4148; e-mail: [email protected]. 1 Supported by NSF grants DMS-95-05175 and DMS-96-26-232. 2 Supported by a Sloan Foundation Fellowship, and NSF grants DMS-95-05175, DMS-96-26911, DMS-9022140. 3 Following [3] we will refer to complete, simply connected length spaces with nonpositive curvature as Hadamard spaces. 4 The same statement is true of higher rank irreducible symmetric spaces and Euclidean buildings by [9].
PY - 2000/5
Y1 - 2000/5
N2 - We construct a pair of finite piecewise Euclidean 2-complexes with nonpositive curvature which are homeomorphic but whose universal covers have nonhomeomorphic ideal boundaries, settling a question of Gromov.
AB - We construct a pair of finite piecewise Euclidean 2-complexes with nonpositive curvature which are homeomorphic but whose universal covers have nonhomeomorphic ideal boundaries, settling a question of Gromov.
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U2 - 10.1016/S0040-9383(99)00016-6
DO - 10.1016/S0040-9383(99)00016-6
M3 - Article
AN - SCOPUS:0034179001
SN - 0040-9383
VL - 39
SP - 549
EP - 556
JO - Topology
JF - Topology
IS - 3
ER -