A new class of quasi-uniform spaces.
Romaguera, Salvador (2000)
Mathematica Pannonica
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Romaguera, Salvador (2000)
Mathematica Pannonica
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Roland Coghetto (2016)
Formalized Mathematics
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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.
Jesús Ferrer Llopis, Valentín Gregori Gregori, Carmen Alegre Gil (1992)
Stochastica
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Partial solution is given here respect to one open problem posed by P. Fletcher and W. F. Lindgren in their monography Quasi-uniform spaces.
P. Fletcher (1971)
Colloquium Mathematicae
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Fletcher, P., Lindgren, W.F. (1976)
Portugaliae mathematica
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P. Fletcher (1971)
Colloquium Mathematicae
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Ferrer, J., Gregori, V., Reilly, I.L. (1995)
Matematichki Vesnik
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David Buhagiar, Tanja Telenta (2007)
Mathematica Slovaca
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Salvador Romaguera, Sergio Salbany (1992)
Extracta Mathematicae
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Deák, J. (1990)
Mathematica Pannonica
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Porter, Kathryn F. (1993)
International Journal of Mathematics and Mathematical Sciences
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