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arXiv · 1309.7489

Resolving rational cohomological dimension via a Cantor group action

Michael Levin
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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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Michael Levin. 2013-09-28. Resolving rational cohomological dimension via a Cantor group action. https://doi.org/10.2140/agt.2015.15.2427

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