Mostrar el registro sencillo del ítem
Reflexivity in precompact groups and extensions
dc.contributor.author | Galindo, Jorge | |
dc.contributor.author | Tkachenko, Mikhail | |
dc.contributor.author | Bruguera, Montserrat | |
dc.contributor.author | Hernández, Constancio | |
dc.date.accessioned | 2015-06-25T11:01:04Z | |
dc.date.available | 2015-06-25T11:01:04Z | |
dc.date.issued | 2014-02 | |
dc.identifier.citation | GALINDO, J., et al. Reflexivity in precompact groups and extensions. Topology and its Applications, 2014, 163: 112-127. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/125210 | |
dc.description.abstract | We 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.extent | 15 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.relation.isPartOf | Topology and its Applications Volume 163, 15 February 2014 | ca_CA |
dc.rights | Copyright © 2015 Elsevier B.V. or its licensors or contributors. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | precompact | ca_CA |
dc.subject | pseudocompact | ca_CA |
dc.subject | ω-Bounded | ca_CA |
dc.subject | reflexive | ca_CA |
dc.subject | P-group | ca_CA |
dc.subject | extension | ca_CA |
dc.title | Reflexivity in precompact groups and extensions | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1016/j.topol.2013.10.011 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0166864113003842 | ca_CA |
dc.type.version | info:eu-repo/semantics/sumittedVersion |
Ficheros en el ítem
Este ítem aparece en la(s) siguiente(s) colección(ones)
-
MAT_Articles [745]
Articles de publicacions periòdiques