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Subgroups of paratopological groups and feebly compact groups

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Subgroups of paratopological groups and feebly compact groups

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dc.contributor.author Fernández, Manuel es_ES
dc.contributor.author Tkachenko, Mikhail G. es_ES
dc.date.accessioned 2014-10-28T07:51:02Z
dc.date.available 2014-10-28T07:51:02Z
dc.date.issued 2014-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/43631
dc.description.abstract [EN] It is shown that if all countable subgroups of a semitopological group G are precompact, then G is also precompact and that the closure of an arbitrary subgroup of G is again a subgroup. We present a general method of refining the topology of a given commutative paratopological group G such that the group G with the finer topology, say, σ is again a paratopological group containing a subgroup whose closure in (G, σ) is not a subgroup. It is also proved that a feebly compact paratopological group H is perfectly k-normal and that every Gδ-dense subspace of H is feebly compact. es_ES
dc.description.sponsorship This author was supported by CONACyT of Mexico, grant CB-2012-01 178103.
dc.language Inglés es_ES
dc.publisher Editorial 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 Feebly compact es_ES
dc.subject Precompact es_ES
dc.subject Paratopological group es_ES
dc.subject Subsemigroup es_ES
dc.subject Topologically periodic es_ES
dc.title Subgroups of paratopological groups and feebly compact groups es_ES
dc.type Artículo es_ES
dc.date.updated 2014-10-28T07:42:03Z
dc.identifier.doi 10.4995/agt.2014.3157
dc.relation.projectID info:eu-repo/grantAgreement/CONACyT//CB-2012-01-178103/
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Fernández, M.; Tkachenko, MG. (2014). Subgroups of paratopological groups and feebly compact groups. Applied General Topology. 15(2):235-248. https://doi.org/10.4995/agt.2014.3157 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2014.3157 es_ES
dc.description.upvformatpinicio 235 es_ES
dc.description.upvformatpfin 248 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 15
dc.description.issue 2
dc.identifier.eissn 1989-4147
dc.contributor.funder Consejo Nacional de Ciencia y Tecnología, México
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dc.description.references Xie, L.-H., Lin, S., & Tkachenko, M. (2013). Factorization properties of paratopological groups. Topology and its Applications, 160(14), 1902-1917. doi:10.1016/j.topol.2013.08.001 es_ES


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