Topological groups: local versus global

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dc.contributor.authorArhangelskii, A.V.es_ES
dc.contributor.authorUspenskij, Vladimir V.es_ES
dc.date.accessioned2017-06-16T09:10:12Z
dc.date.available2017-06-16T09:10:12Z
dc.date.issued2006-04-01
dc.date.updated2017-06-16T08:47:36Z
dc.description.abstract[EN] It is well known that locally compact groups are paracompact. We observe that this theorem can be generalized as follows: every locally paracompact group is paracompact. We prove a more general version of this statement using quotients. Similar ‘local implies global’ theorems hold also for many other properties, such as normality, metacompactness, stratifiability, etc.en_EN
dc.description.accrualMethodSWORDes_ES
dc.description.bibliographicCitationArhangelskii, A.; Uspenskij, VV. (2006). Topological groups: local versus global. Applied General Topology. 7(1):67-72. https://doi.org/10.4995/agt.2006.1933es_ES
dc.description.issue1
dc.description.referencesArkhangelskii, A. V. (1981). Classes of topological groups. Russian Mathematical Surveys, 36(3), 151-174. doi:10.1070/rm1981v036n03abeh004249es_ES
dc.description.referencesR. Engelking, General Topology (PWN, Warszawa, 1977).es_ES
dc.description.referencesI. Guran, On topological groups close to being Lindelof, Soviet Math. Dokl. 23 (1981), 173–175.es_ES
dc.description.referencesJ.-P. Serre, Compacité locale des espaces fibr’e, C. R. Acad. Paris 229 (1949), 1295–1297. [=OEuvres, vol. 1]es_ES
dc.description.referencesV. V. Uspenskij, Why compact groups are dyadic, in: General Topology and its relations to modern analysis and algebra VI: Proc. of the 6th Prague topological Symposium 1986, edited by Z. Frolik (Heldermann, Berlin, 1988), 601-610.es_ES
dc.description.upvformatpfin72es_ES
dc.description.upvformatpinicio67es_ES
dc.description.volume7
dc.identifier.doi10.4995/agt.2006.1933
dc.identifier.eissn1989-4147
dc.identifier.issn1576-9402
dc.identifier.urihttps://riunet.upv.es/handle/10251/82955
dc.languageIngléses_ES
dc.publisherUniversitat Politècnica de València
dc.relation.ispartofApplied General Topology
dc.relation.publisherversionhttps://doi.org/10.4995/agt.2006.1933es_ES
dc.relation.references10.1070/RM1981v036n03ABEH004249es_ES
dc.rightsReconocimiento - No comercial - Sin obra derivada (by-nc-nd)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectTopological groupes_ES
dc.subjectParacompactes_ES
dc.subjectLindelöfes_ES
dc.subjectLocal propertieses_ES
dc.titleTopological groups: local versus globales_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
upv.uuid75dfd8b2-e7bf-4551-b165-e661e773555bes_ES

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Applied General Topology - Vol 07, No 1 (2006)