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dc.contributor.authorGalindo, Jorge
dc.contributor.authorTkachenko, Mikhail
dc.contributor.authorBruguera, Montserrat
dc.contributor.authorHernández, Constancio
dc.date.accessioned2015-06-25T11:01:04Z
dc.date.available2015-06-25T11:01:04Z
dc.date.issued2014-02
dc.identifier.citationGALINDO, J., et al. Reflexivity in precompact groups and extensions. Topology and its Applications, 2014, 163: 112-127.ca_CA
dc.identifier.urihttp://hdl.handle.net/10234/125210
dc.description.abstractWe establish some general principles and find some counter-examples concerning the Pontryagin reflexivity of precompact groups and P-groups. We prove in particular that: (1) A precompact Abelian group G of bounded order is reflexive iff the dual group G∧G∧ has no infinite compact subsets and every compact subset of G is contained in a compact subgroup of G. (2) Any extension of a reflexive P-group by another reflexive P-group is again reflexive. We show on the other hand that an extension of a compact group by a reflexive ω-bounded group (even dual to a reflexive P-group) can fail to be reflexive. We also show that the P-modification of a reflexive σ-compact group can be non-reflexive (even if, as proved in [20], the P-modification of a locally compact Abelian group is always reflexive).ca_CA
dc.format.extent15 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherElsevierca_CA
dc.relation.isPartOfTopology and its Applications Volume 163, 15 February 2014ca_CA
dc.rightsCopyright © 2015 Elsevier B.V. or its licensors or contributors.ca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectprecompactca_CA
dc.subjectpseudocompactca_CA
dc.subjectω-Boundedca_CA
dc.subjectreflexiveca_CA
dc.subjectP-groupca_CA
dc.subjectextensionca_CA
dc.titleReflexivity in precompact groups and extensionsca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1016/j.topol.2013.10.011
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttp://www.sciencedirect.com/science/article/pii/S0166864113003842ca_CA
dc.type.versioninfo:eu-repo/semantics/sumittedVersion


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