On the topology of generalized quotients

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dc.contributor.authorBurzyk, Józefes_ES
dc.contributor.authorFerens, Cezaryes_ES
dc.contributor.authorMikusinski, Piotres_ES
dc.date.accessioned2017-09-05T11:30:03Z
dc.date.available2017-09-05T11:30:03Z
dc.date.issued2008-10-01
dc.date.updated2017-09-05T11:04:44Z
dc.description.abstract[EN] Generalized quotients are defined as equivalence classes of pairs (x, f), where x is an element of a nonempty set X and f is an element of a commutative semigroup G acting on X. Topologies on X and G induce a natural topology on B(X,G), the space of generalized quotients. Separation properties of this topology are investigated.en_EN
dc.description.accrualMethodSWORDes_ES
dc.description.bibliographicCitationBurzyk, J.; Ferens, C.; Mikusinski, P. (2008). On the topology of generalized quotients. Applied General Topology. 9(2):205-212. https://doi.org/10.4995/agt.2008.1801es_ES
dc.description.issue2
dc.description.referencesJ. Burzyk and P. Mikusinski, A generalization of the construction of a field of quotients with applications in analysis, Int. J. Math. Sci. 2 (2003), 229–236.es_ES
dc.description.referencesJ. H. Carruth, J. A. Hildebrant, and R. J. Koch, The Theory of Topological Semigroups (Marcel Dekker, New York, 1983).es_ES
dc.description.referencesP. Mikusinski, Generalized Quotients with Applications in Analysis, Methods Appl. Anal. 10 (2004), 377–386.es_ES
dc.description.upvformatpfin212es_ES
dc.description.upvformatpinicio205es_ES
dc.description.volume9
dc.identifier.doi10.4995/agt.2008.1801
dc.identifier.eissn1989-4147
dc.identifier.issn1576-9402
dc.identifier.urihttps://riunet.upv.es/handle/10251/86431
dc.languageIngléses_ES
dc.publisherUniversitat Politècnica de València
dc.relation.ispartofApplied General Topology
dc.relation.publisherversionhttps://doi.org/10.4995/agt.2008.1801es_ES
dc.rightsReconocimiento - No comercial - Sin obra derivada (by-nc-nd)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectGeneralized quotientses_ES
dc.subjectSemigroup acting on a setes_ES
dc.subjectQuotient topologyes_ES
dc.subjectHausdorff topologyes_ES
dc.titleOn the topology of generalized quotientses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
upv.uuid1090c042-aab5-480d-96fb-fe941fc191cces_ES

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Applied General Topology - Vol 09, No 2 (2008)