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dc.contributor.authorCoghetto, Roland-
dc.date.accessioned2017-06-02T11:53:00Z-
dc.date.available2017-06-02T11:53:00Z-
dc.date.issued2016-
dc.identifier.citationFormalized Mathematics, Volume 24, Issue 3, pp. 205-214pl
dc.identifier.issn1426-2630pl
dc.identifier.issn1898-9934pl
dc.identifier.urihttp://hdl.handle.net/11320/5555-
dc.description.abstractIn this article, using mostly Pervin [9], Kunzi [6], [8], [7], Williams [11] and Bourbaki [3] works, we formalize in Mizar [2] the notions of quasiuniform space, semi-uniform space and locally uniform space.We define the topology induced by a quasi-uniform space. Finally we formalize from the sets of the form ((X \ Ω) × X) ∪ (X × Ω), the Csaszar-Pervin quasi-uniform space induced by a topological space.-
dc.language.isoen-
dc.publisherDe Gruyter Open-
dc.subjectquasi-uniform space-
dc.subjectquasi-uniformity-
dc.subjectPervin space-
dc.subjectCsaszar-Pervin quasi-uniformity-
dc.titleQuasi-uniform Space-
dc.typeArticle-
dc.identifier.doi10.1515/forma-2016-0017-
dc.description.AffiliationRue de la Brasserie 5 7100 La Louvière, Belgium-
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dc.description.referencesHans-Peter A. Künzi. An introduction to quasi-uniform spaces. Beyond Topology, 486: 239-304, 2009.-
dc.description.referencesHans-Peter A. Künzi and Carolina Ryser. The Bourbaki quasi-uniformity. In Topology Proceedings, volume 20, pages 161-183, 1995.-
dc.description.referencesWilliam J. Pervin. Quasi-uniformization of topological spaces. Mathematische Annalen, 147(4):316-317, 1962.-
dc.description.referencesAlexander Yu. Shibakov and Andrzej Trybulec. The Cantor set. Formalized Mathematics, 5(2):233-236, 1996.-
dc.description.referencesJames Williams. Locally uniform spaces. Transactions of the American Mathematical Society, 168:435-469, 1972.-
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