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On quasi-uniform box products

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On quasi-uniform box products

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dc.contributor.author Olela Otafudu, Olivier es_ES
dc.contributor.author Sabao, Hope es_ES
dc.date.accessioned 2017-04-19T11:51:41Z
dc.date.available 2017-04-19T11:51:41Z
dc.date.issued 2017-04-03
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/79815
dc.description.abstract [EN] We revisit the computation of entourage sections of the constant uniformity of the product of countably many copies the Alexandroff one-point compactification called the Fort space. Furthermore, we define the concept of a quasi-uniformity on a product of countably many copies of a quasi-uniform space, where the symmetrised uniformity of our quasiuniformity coincides with the constant uniformity. We use the concept of Cauchy filter pairs on a quasi-uniform space to discuss the completeness of its quasi-uniform box product. 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 box product es_ES
dc.subject Quasi-uniform box product es_ES
dc.subject Quasi-uniformity es_ES
dc.subject D-completeness es_ES
dc.title On quasi-uniform box products es_ES
dc.type Artículo es_ES
dc.date.updated 2017-04-19T11:20:04Z
dc.identifier.doi 10.4995/agt.2017.5818
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Olela Otafudu, O.; Sabao, H. (2017). On quasi-uniform box products. Applied General Topology. 18(1):61-74. https://doi.org/10.4995/agt.2017.5818 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2017.5818 es_ES
dc.description.upvformatpinicio 61 es_ES
dc.description.upvformatpfin 74 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 18
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.description.references Bell, J. R. (2014). The uniform box product. Proceedings of the American Mathematical Society, 142(6), 2161-2171. doi:10.1090/s0002-9939-2014-11910-1 es_ES
dc.description.references Bell, J. R. (2014). An infinite game with topological consequences. Topology and its Applications, 175, 1-14. doi:10.1016/j.topol.2014.06.014 es_ES
dc.description.references Fletcher, P., & Hunsaker, W. (1992). Completeness using pairs of filters. Topology and its Applications, 44(1-3), 149-155. doi:10.1016/0166-8641(92)90087-g es_ES
dc.description.references Gruenhage, G. (1976). Infinite games and generalizations of first-countable spaces. General Topology and its Applications, 6(3), 339-352. doi:10.1016/0016-660x(76)90024-6 es_ES
dc.description.references Künzi, H.-P. A., & Kivuvu, C. M. (2008). A double completion for an arbitrary <mml:math altimg=«si1.gif» overflow=«scroll» xmlns:xocs=«http://www.elsevier.com/xml/xocs/dtd» xmlns:xs=«http://www.w3.org/2001/XMLSchema» xmlns:xsi=«http://www.w3.org/2001/XMLSchema-instance» xmlns=«http://www.elsevier.com/xml/ja/dtd» xmlns:ja=«http://www.elsevier.com/xml/ja/dtd» xmlns:mml=«http://www.w3.org/1998/Math/MathML» xmlns:tb=«http://www.elsevier.com/xml/common/table/dtd» xmlns:sb=«http://www.elsevier.com/xml/common/struct-bib/dtd» xmlns:ce=«http://www.elsevier.com/xml/common/dtd» xmlns:xlink=«http://www.w3.org/1999/xlink» xmlns:cals=«http://www.elsevier.com/xml/common/cals/dtd»><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>-quasi-metric space. The Journal of Logic and Algebraic Programming, 76(2), 251-269. doi:10.1016/j.jlap.2008.02.006 es_ES


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