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Abstract
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We prove that the
Halperin–Carlsson conjecture holds for any free (ℤ2)m-action on a compact manifold
whose orbit space is a small cover.
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Keywords
free torus action, Halperin–Carlsson conjecture, small
cover, moment-angle manifold, glue-back construction
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Mathematical Subject Classification 2010
Primary: 57R22, 57R91, 57S17, 57S25
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Milestones
Received: 1 March 2011
Revised: 15 November 2011
Accepted: 21 November 2011
Published: 30 May 2012
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