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On proximal fineness of topological groups in their right uniformity

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On proximal fineness of topological groups in their right uniformity

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dc.contributor.author Bouziad, Ahmed es_ES
dc.date.accessioned 2019-10-03T07:47:21Z
dc.date.available 2019-10-03T07:47:21Z
dc.date.issued 2019-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/127139
dc.description.abstract [EN] A uniform space X is said to be proximally fine if every proximally continuous function defined on X into an arbitrary uniform pace Y is uniformly continuous. We supply a proof that every topological group which is functionally generated by its precompact subsets is proximally fine with respect to its right uniformity. On the other hand, we show that there are various permutation groups G on the integers N that are not proximally fine with respect to the topology generated by the sets {g ∈ G : g(A) ⊂ B}, A, B ⊂ N. 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 Uniform space es_ES
dc.subject Topological group es_ES
dc.subject Proximal continuity es_ES
dc.subject Proximally fine group es_ES
dc.subject Symmetric group es_ES
dc.subject O-radial space es_ES
dc.title On proximal fineness of topological groups in their right uniformity es_ES
dc.type Artículo es_ES
dc.date.updated 2019-10-03T06:47:25Z
dc.identifier.doi 10.4995/agt.2019.11605
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Bouziad, A. (2019). On proximal fineness of topological groups in their right uniformity. Applied General Topology. 20(2):419-430. https://doi.org/10.4995/agt.2019.11605 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2019.11605 es_ES
dc.description.upvformatpinicio 419 es_ES
dc.description.upvformatpfin 430 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 20
dc.description.issue 2
dc.identifier.eissn 1989-4147
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