Graph topologies and uniform convergence in quasi-uniform spaces.
Jesús Rodríguez-López, Salvador Romaguera (2002)
Extracta Mathematicae
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Jesús Rodríguez-López, Salvador Romaguera (2002)
Extracta Mathematicae
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Peter Fletcher, Worthen N. Hunsaker, William F. Lindgren (1993)
Commentationes Mathematicae Universitatis Carolinae
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This paper considers totally bounded quasi-uniformities and quasi-proximities for frames and shows that for a given quasi-proximity on a frame there is a totally bounded quasi-uniformity on that is the coarsest quasi-uniformity, and the only totally bounded quasi-uniformity, that determines . The constructions due to B. Banaschewski and A. Pultr of the Cauchy spectrum and the compactification of a uniform frame are meaningful for quasi-uniform frames. If is a totally bounded...
Ferrer, J., Gregori, V., Reilly, I.L. (1995)
Matematichki Vesnik
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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.
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.