Results 201 to 210 of about 5,139,014 (234)

A Note on Locally Quasi-Uniform Spaces

Canadian Mathematical Bulletin, 1976
AbstractLocally quasi-uniform spaces are studied, and it is shown that a topological space (X, t) admits exactly one compatible locally quasi-uniform structure if and only if t is finite.
Hicks, Troy L., Huffman, Shirley M.
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Nonstandard methods of completing quasi-uniform spaces [PDF]

Topology and Its Applications, 1995
A rather general method of constructing T2-completions of a quasi-uniform space is given. Using it we show that a sufficient condition for a quasi-uniform space to have a T2-completion is that the quasi-uniformity contains a compatible uniformity.
Hermann Render
exaly   +2 more sources

*-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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On -fuzzy quasi-uniform spaces

Fuzzy Sets and Systems, 2007
Let \(L,M\) be completely distributive lattices. For each set \(X\), \(H(L^X)\) denotes the set of all join-preserving functions \(d:L^X\to L^X\) such that \(A\leq d(A)\) for all \(A\in L^X\). An \((L,M)\)-quasi-uniformity on a set \(X\) is a map \(H(L^X)\to M\) subject to certain conditions.
Yueli Yue, Fu-Gui Shi
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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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Bicompletion of Lowen fuzzy quasi-uniform spaces

Fuzzy Sets and Systems, 2003
The author sticks to the definition of Katsaras for \(I\)-fuzzy quasi-uniformities as a fuzzification of the entourage approach to quasi-uniformities by dropping the symmetry condition of Lowen's \(L\)-fuzzy uniformity (where \(L=I=[0,1])\). The construction of the bicompletion of \(I\)-fuzzy quasi-uniform spaces is done as a generalization of the ...
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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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