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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

2016
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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The scale of a quasi-uniform space

2016
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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Some Properties of Quasi-Uniform Spaces

Proceedings of the London Mathematical Society, 1967
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(L,⊙)-quasi-uniform Spaces and (L,⊙)-neighborhood Systems

International Journal of Fuzzy Logic and Intelligent Systems, 2009
Yong-Chan Kim
exaly  

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

Acta Mathematica Hungarica, 2007
S Romaguera   +2 more
exaly  

Completeness of Hutton -quasi-uniform spaces

Fuzzy Sets and Systems, 2007
Javier Gutierrez Garcia   +2 more
exaly  

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