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http://hdl.handle.net/11320/5555
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Pole DC | Wartość | Język |
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dc.contributor.author | Coghetto, Roland | - |
dc.date.accessioned | 2017-06-02T11:53:00Z | - |
dc.date.available | 2017-06-02T11:53:00Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | Formalized Mathematics, Volume 24, Issue 3, pp. 205-214 | pl |
dc.identifier.issn | 1426-2630 | pl |
dc.identifier.issn | 1898-9934 | pl |
dc.identifier.uri | http://hdl.handle.net/11320/5555 | - |
dc.description.abstract | In 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.iso | en | - |
dc.publisher | De Gruyter Open | - |
dc.subject | quasi-uniform space | - |
dc.subject | quasi-uniformity | - |
dc.subject | Pervin space | - |
dc.subject | Csaszar-Pervin quasi-uniformity | - |
dc.title | Quasi-uniform Space | - |
dc.type | Article | - |
dc.identifier.doi | 10.1515/forma-2016-0017 | - |
dc.description.Affiliation | Rue de la Brasserie 5 7100 La Louvière, Belgium | - |
dc.description.references | William W. Armstrong, Yatsuka Nakamura, and Piotr Rudnicki. Armstrong’s axioms. Formalized Mathematics, 11(1):39-51, 2003. | - |
dc.description.references | Grzegorz Bancerek, Czesław Bylinski, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pak, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261-279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. | - |
dc.description.references | Nicolas Bourbaki. General Topology: Chapters 1-4. Springer Science and Business Media, 2013. | - |
dc.description.references | Czesław Bylinski. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990. | - |
dc.description.references | Roland Coghetto. Convergent filter bases. Formalized Mathematics, 23(3):189-203, 2015. | - |
dc.description.references | Hans-Peter A. Künzi. Quasi-uniform spaces - eleven years later. In Topology Proceedings, volume 18, pages 143-171, 1993. | - |
dc.description.references | Hans-Peter A. Künzi. An introduction to quasi-uniform spaces. Beyond Topology, 486: 239-304, 2009. | - |
dc.description.references | Hans-Peter A. Künzi and Carolina Ryser. The Bourbaki quasi-uniformity. In Topology Proceedings, volume 20, pages 161-183, 1995. | - |
dc.description.references | William J. Pervin. Quasi-uniformization of topological spaces. Mathematische Annalen, 147(4):316-317, 1962. | - |
dc.description.references | Alexander Yu. Shibakov and Andrzej Trybulec. The Cantor set. Formalized Mathematics, 5(2):233-236, 1996. | - |
dc.description.references | James Williams. Locally uniform spaces. Transactions of the American Mathematical Society, 168:435-469, 1972. | - |
dc.description.references | Mirosław Wysocki and Agata Darmochwał. Subsets of topological spaces. Formalized Mathematics, 1(1):231-237, 1990. | - |
Występuje w kolekcji(ach): | Formalized Mathematics, 2016, Volume 24, Issue 3 |
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forma-2016-0017.pdf | 251,87 kB | Adobe PDF | Otwórz |
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