Graph topologies and uniform convergence in quasi-uniform spaces.
Jesús Rodríguez-López, Salvador Romaguera (2002)
Extracta Mathematicae
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Displaying similar documents to “On quasi-uniform space valued semi-continuous functions”
Graph topologies and uniform convergence in quasi-uniform spaces.
Totally bounded frame quasi-uniformities
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...
Some properties of semi-continuous functions and quasi-uniform spaces.
Ferrer, J., Gregori, V., Reilly, I.L. (1995)
Matematichki Vesnik
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On some questions in quasi-uniform topological spaces.
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.
Quasi-uniform Space
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.
Topological spaces which admit a compatible complete quasi-uniformity
Fletcher, P., Lindgren, W. F.
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On quasi-compactness of operator nets on Banach spaces
Eduard Yu. Emel'yanov (2011)
Studia Mathematica
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The paper introduces a notion of quasi-compact operator net on a Banach space. It is proved that quasi-compactness of a uniform Lotz-Räbiger net is equivalent to quasi-compactness of some operator . We prove that strong convergence of a quasi-compact uniform Lotz-Räbiger net implies uniform convergence to a finite-rank projection. Precompactness of operator nets is also investigated.