Results 201 to 210 of about 16,669 (226)

*-Compactifications of quasi-uniform spaces

Studia Scientiarum Mathematicarum Hungarica, 2007
By a *-compactification of a T0 quasi-uniform space ( X, U ) we mean a compact T0 quasi-uniform space ( Y, V ) that has a T ( V ∨ V−1 )-dense subspace quasi-isomorphic to ( X, U ). We prove that ( X, U ) has a *-compactification if and only if its T0 biocompletion \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts}
Salvador Romaguera, Miguel Sánchez-Granero   +1 more
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Variational principles in quasi-uniform spaces and quasi-gauge spaces

Optimization
International audienceIn this article, we obtain an extension of the Ekeland variational principle in quasi-uniform spaces. Since the Ekeland variational principle is a type of perturbed optimization problem, the perturbations do not need to satisfy the ...
J Zafarani
exaly   +2 more sources

Completeness of Quasi-Uniform and Syntopological Spaces

Journal of the London Mathematical Society, 1994
Because of the unusual gap between the submission date of this paper, July 8, 1989, and its publication date, the paper has already had considerable impact as a preprint. With the retrospective view provided in this way, it is easy to specify the paper's importance: the paper establishes that by suitably modifying certain standard definitions the ...
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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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Ekeland variational principle and its equivalents in T1-quasi-uniform spaces

Optimization, 2023
Stefan Cobzaş
exaly