Resolving rational cohomological dimension via a cantor group action

Michael Levin

doi:10.2140/agt.2015.15.2427

Resolving rational cohomological dimension via a cantor group action

Michael Levin

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

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 language	American English
Pages (from-to)	2427-2437
Number of pages	11
Journal	Algebraic and Geometric Topology
Volume	15
Issue number	4
DOIs	https://doi.org/10.2140/agt.2015.15.2427
State	Published - 10 Sep 2015

Keywords

Cohomological dimension
Transformation groups

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.2140/agt.2015.15.2427

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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.",

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AB - 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.

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Resolving rational cohomological dimension via a cantor group action

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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