Quasiflats in CAT(0) 2-complexes

Mladen Bestvina, Bruce Kleiner, Michah Sageev

Research output: Contribution to journalArticlepeer-review


We show that if X is a piecewise Euclidean 2-complex with a cocompact isometry group, then every 2-quasiflat in X is at finite Hausdorff distance from a subset Q which is locally flat outside a compact set, and asymptotically conical.

Original languageEnglish (US)
Pages (from-to)2663-2676
Number of pages14
JournalAlgebraic and Geometric Topology
Issue number5
StatePublished - Nov 7 2016


  • Piecewise Euclidean complex
  • Quasi-isometry
  • Quasiflat

ASJC Scopus subject areas

  • Geometry and Topology


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