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Topological groups: local versus global

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Topological groups: local versus global

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dc.contributor.author Arhangelskii, A.V. es_ES
dc.contributor.author Uspenskij, Vladimir V. es_ES
dc.date.accessioned 2017-06-16T09:10:12Z
dc.date.available 2017-06-16T09:10:12Z
dc.date.issued 2006-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/82955
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. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Topological group es_ES
dc.subject Paracompact es_ES
dc.subject Lindelöf es_ES
dc.subject Local properties es_ES
dc.title Topological groups: local versus global es_ES
dc.type Artículo es_ES
dc.date.updated 2017-06-16T08:47:36Z
dc.identifier.doi 10.4995/agt.2006.1933
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Arhangelskii, A.; Uspenskij, VV. (2006). Topological groups: local versus global. Applied General Topology. 7(1):67-72. https://doi.org/10.4995/agt.2006.1933 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2006.1933 es_ES
dc.description.upvformatpinicio 67 es_ES
dc.description.upvformatpfin 72 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 7
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.description.references Arkhangelskii, A. V. (1981). Classes of topological groups. Russian Mathematical Surveys, 36(3), 151-174. doi:10.1070/rm1981v036n03abeh004249 es_ES
dc.description.references R. Engelking, General Topology (PWN, Warszawa, 1977). es_ES
dc.description.references I. Guran, On topological groups close to being Lindelof, Soviet Math. Dokl. 23 (1981), 173–175. es_ES
dc.description.references J.-P. Serre, Compacité locale des espaces fibr’e, C. R. Acad. Paris 229 (1949), 1295–1297. [=OEuvres, vol. 1] es_ES
dc.description.references V. 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


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