Spaces with nonpositive curvature and their ideal boundaries

Christopher B. Croke, Bruce Kleiner

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)549-556
Number of pages8
JournalTopology
Volume39
Issue number3
StatePublished - May 2000

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Nonpositive Curvature
Universal Cover
Homeomorphic
Euclidean

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

Spaces with nonpositive curvature and their ideal boundaries. / Croke, Christopher B.; Kleiner, Bruce.

In: Topology, Vol. 39, No. 3, 05.2000, p. 549-556.

Research output: Contribution to journalArticle

Croke, Christopher B. ; Kleiner, Bruce. / Spaces with nonpositive curvature and their ideal boundaries. In: Topology. 2000 ; Vol. 39, No. 3. pp. 549-556.
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