Geodesic
Resolving rational cohomological dimension via a Cantor group action
Levin, Michael1
1Department of Mathematics, Ben Gurion University of the Negev, PO Box 653, Be’er Sheva 84105, Israel
Algebraic and Geometric Topology, Tome 15 (2015) no. 4, pp. 2427-2437
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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.

DOI : 10.2140/agt.2015.15.2427
Keywords: cohomological dimension, transformation groups

Levin, Michael  1

1 Department of Mathematics, Ben Gurion University of the Negev, PO Box 653, Be’er Sheva 84105, Israel 
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Levin, Michael. Resolving rational cohomological dimension via a Cantor group action. Algebraic and Geometric Topology, Tome 15 (2015) no. 4, pp. 2427-2437. doi: 10.2140/agt.2015.15.2427

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