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This article is available for purchase or by subscription. See below.
Abstract
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The aim of this article is to establish the notion of bundle-type
quasitoric manifolds and provide two classification results on them: (i)
–bundle
type quasitoric manifolds are weakly equivariantly homeomorphic if their
cohomology rings are isomorphic, and (ii) quasitoric manifolds over
are
homeomorphic if their cohomology rings are isomorphic. In the latter case, there are
only four quasitoric manifolds up to weakly equivariant homeomorphism which are
not bundle-type.
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Keywords
quasitoric manifold, toric topology
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Mathematical Subject Classification 2010
Primary: 57R19, 57S25
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Publication
Received: 3 December 2014
Revised: 27 February 2016
Accepted: 9 July 2016
Published: 26 January 2017
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