Resolving rational cohomological dimension via a cantor group action

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4 Scopus citations

Abstract

By a Cantor group we mean a topological group homeomorphic to the Cantor set. We show that a compact metric space of rational cohomological dimension n can be obtained as the orbit space of a Cantor group action on a metric compact space of covering dimension n. Moreover, the action can be assumed to be free if n = 1.

Original languageEnglish
Pages (from-to)2427-2437
Number of pages11
JournalAlgebraic and Geometric Topology
Volume15
Issue number4
DOIs
StatePublished - 10 Sep 2015

Keywords

  • Cohomological dimension
  • Transformation groups

ASJC Scopus subject areas

  • Geometry and Topology

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