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Infinite games and quasi-uniform box products

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Infinite games and quasi-uniform box products

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dc.contributor.author Sabao, Hope es_ES
dc.contributor.author Olela Otafudu, Olivier es_ES
dc.date.accessioned 2019-04-04T07:16:07Z
dc.date.available 2019-04-04T07:16:07Z
dc.date.issued 2019-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/118958
dc.description.abstract [EN] We introduce new infinite games, played in a quasi-uniform space, that generalise the proximal game to the framework of quasi-uniform spaces. We then introduce bi-proximal spaces, a concept that generalises proximal spaces to the quasi-uniform setting. We show that every bi-proximal space is a W-space and as consequence of this, the bi-proximal property is preserved under Σ-products and closed subsets. It is known that the Sorgenfrey line is almost proximal but not proximal. However, in this paper we show that the Sorgenfrey line is bi-proximal, which shows that our concept of bi-proximal spaces is more general than that of proximal spaces. We then present separation properties of certain bi-proximal spaces and apply them to quasi-uniform box products. 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 Infinite games es_ES
dc.subject W-spaces es_ES
dc.subject Σ-products es_ES
dc.subject Quasi-uniform spaces es_ES
dc.subject Quasi-uniform box products es_ES
dc.title Infinite games and quasi-uniform box products es_ES
dc.type Artículo es_ES
dc.date.updated 2019-04-04T06:30:33Z
dc.identifier.doi 10.4995/agt.2019.9679
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Sabao, H.; Olela Otafudu, O. (2019). Infinite games and quasi-uniform box products. Applied General Topology. 20(1):57-73. https://doi.org/10.4995/agt.2019.9679 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2019.9679 es_ES
dc.description.upvformatpinicio 57 es_ES
dc.description.upvformatpfin 73 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 20
dc.description.issue 1
dc.identifier.eissn 1989-4147
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