Results 211 to 220 of about 5,139,014 (234)

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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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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Bitopological Spaces and Quasi-Uniform Spaces

Proceedings of the London Mathematical Society, 1967
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Transitive quasi-uniform spaces

1974
Chapter 1 deals with basic properties of the category of quasi-uniform spaces and its full subcategory Qut of transitive quasi-uniform spaces. Chapter 2 concerns Fletcher's construction. We extend the class of covers to which this construction may be applied and study the functoriality of the construction.
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Some Properties of Quasi-Uniform Spaces

Proceedings of the London Mathematical Society, 1967
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Quasi-uniform Structures in Linear Lattices

Rocky Mountain Journal of Mathematics, 1993
Valentin Gregori
exaly  

Completeness of Hutton -quasi-uniform spaces

Fuzzy Sets and Systems, 2007
S Romaguera, M A de Prada Vicente, J Gutierrez Garcia   +2 more
exaly  

Quasi-uniform isomorphisms in fuzzy quasi-metric spaces, bicompletion and D-completion

Acta Mathematica Hungarica, 2007
Oscar Valero, S Romaguera
exaly