Results 241 to 250 of about 2,467,258 (262)

Spaces of Continuous Functions and Quasi-Uniform Convergence

Acta Mathematica Hungarica, 1997
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Künzi, H.-P. A., Romaguera, S.
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Bitopologies and quasi-uniformities on spaces of continuous functions

Publicationes Mathematicae Debrecen, 1995
This paper concerns the general problem of investigation of bitopologies in the sense of Kelly on some sets of mappings \(f:X\to Y\) of arbitrary fixed sets \(X\) and \(Y\) under those or other conditions. The authors consider two such bitopologies on the set \(C(X, Y)\) of all bicontinuous mappings \(f: (X, \tau_1, \tau_2)\to (Y, \tau_1', \tau_2 ...
Romaguera, Salvador, Ruiz-Gómez, Marcos
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Topological Spaces with a Unique Compatible Quasi-Uniformity

Canadian Mathematical Bulletin, 1971
In [ 2 ] P. Fletcher proved that a finite topological space has a unique compatible quasi-uniformity; C. Barnhill and P. Fletcher showed in [1] that a topological space (X, ), with finite, has a unique compatible quasiuniformity. In this note we give some necessary conditions for unique quasiuniformizability.
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D-Complete extensions of quasi-uniform spaces

Acta Mathematica Hungarica, 1994
Let \(Y\) be a set and \(\tau\) be a topology on a subset \(X\) of \(Y\). For each \(a\in Y\), let \(s(a)\) be a \(\tau\)-open filter on \(X\); in particular, for each \(a\in X\) let \(s(a)\) be the neighborhood filter of \(a\). Among the topologies \(\tau'\) on \(Y\) for which every \(s(a)\) is the trace of the corresponding \(\tau'\)-neighborhood ...
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Topological Spaces with a Unique Compatible Quasi-Uniformity

Canadian Mathematical Bulletin, 1986
AbstractWe show that a topological space X admits a unique quasiuniformity if and only if every interior-preserving open collection of X is finite.
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Completeness of Hutton [0,1]-quasi-uniform spaces

Fuzzy Sets Syst., 2007
Starting with the fuzzy metric space introduced by George and Veeramani, the authors next consider the Hutton \([0,1]\)-quasi-uniformity induced by the said fuzzy metric space. The basic consideration here is the completeness of Hutton \([0,1]\)-quasi-uniform space. In the process, the authors define the concept of stratified and tight Cauchy \([0,1]\)-
Javier Gutiérrez García, María Angeles de Prada-Vicente, Salvador Romaguera   +2 more
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Quasi-uniformities: Reconciling domains with metric spaces

1988
We show that quasi-metric or quasi-uniform spaces provide, inter alia, a common generalization of cpo's and metric spaces as used in denotational semantics. To accommodate the examples suggested by computer science, a reworking of basic notions involving limits and completeness is found to be necessary.
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Ekeland variational principle and its equivalents in T1-quasi-uniform spaces

Optimization, 2023
Stefan Cobzaş
exaly  

Bitopological Spaces and Quasi-Uniform Spaces

Proceedings of the London Mathematical Society, 1967
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The scale of a quasi-uniform space

2009
Over the last forty years much progress has been made in the investigation of the scale of a uniform space. In particular, Bushaw, Kent, Ramsey and Richardson published several articles concerning the scale of a uniform space. The aim of this dissertation is to begin a similar investigation into the scale of a quasi-uniform space.
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