@article{dfbe78fd1ace4a7c84fded29a9ee661a,
title = "Spaces with nonpositive curvature and their ideal boundaries",
abstract = "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.",
author = "Croke, {Christopher B.} and Bruce Kleiner",
note = "Funding Information: * Corresponding author. Tel.: #1-801-583-8594; fax: #1-801-581-4148; e-mail: bkleiner@math.utah.edu. 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].",
year = "2000",
month = may,
doi = "10.1016/S0040-9383(99)00016-6",
language = "English (US)",
volume = "39",
pages = "549--556",
journal = "Topology",
issn = "0040-9383",
publisher = "Elsevier Limited",
number = "3",
}