The local structure of length spaces with curvature bounded above

Research output: Contribution to journalArticle

Abstract

We show that a number of different notions of dimension coincide for length spaces with curvature bounded above. We then apply this result, showing that if X is a locally compact CAT(0) space with cocompact isometry group, then the dimension of the Tits boundary and the asymptotic cone(s) of X are determined by the maximal dimension of a flat in X.

Original languageEnglish (US)
Pages (from-to)409-456
Number of pages48
JournalMathematische Zeitschrift
Volume231
Issue number3
StatePublished - Jul 1999

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Local Structure
Curvature
Asymptotic Cone
CAT(0) Spaces
Isometry Group
Locally Compact

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The local structure of length spaces with curvature bounded above. / Kleiner, Bruce.

In: Mathematische Zeitschrift, Vol. 231, No. 3, 07.1999, p. 409-456.

Research output: Contribution to journalArticle

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