The category of uniform frames
J. L. Frith (1990)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “A direct description of uniform completion in locales and a characterization of -groups”
The category of uniform frames
Weil uniformities for frames
Jorge Picado (1995)
Commentationes Mathematicae Universitatis Carolinae
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In pointfree topology, the notion of uniformity in the form of a system of covers was introduced by J. Isbell in [11], and later developed by A. Pultr in [14] and [15]. Another equivalent notion of locale uniformity was given by P. Fletcher and W. Hunsaker in [6], which they called “entourage uniformity”. The purpose of this paper is to formulate and investigate an alternative definition of entourage uniformity which is more likely to the Weil pointed entourage uniformity, since it is...
Booleanization of uniform frames
Bernhard Banaschewski, Aleš Pultr (1996)
Commentationes Mathematicae Universitatis Carolinae
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Booleanization of frames or uniform frames, which is not functorial under the basic choice of morphisms, becomes functorial in the categories with weakly open homomorphisms or weakly open uniform homomorphisms. Then, the construction becomes a reflection. In the uniform case, moreover, it also has a left adjoint. In connection with this, certain dual equivalences concerning uniform spaces and uniform frames arise.