Results 291 to 300 of about 285,370 (322)

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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Finite Topological Spaces and Quasi-Uniform Structures

Canadian Mathematical Bulletin, 1969
In [6], H. Sharp gives a matrix characterization of each topology on a finite set X = {x1, x2,…, xn}. The study of quasi-uniform spaces provides a more natural and obviously equivalent characterization of finite topological spaces. With this alternate characterization, results of quasi-uniform theory can be used to obtain simple proofs of some of the ...
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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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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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Bitopological Spaces and Quasi-Uniform Spaces

Proceedings of the London Mathematical Society, 1967
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Axisymmetric thermo-elastic field in an infinite one-dimensional hexagonal quasi-crystal space containing a penny-shaped crack under anti-symmetric uniform heat fluxes

, 2017
Peng Li, X. Li, Guohui Kang
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