The category of uniform frames
J. L. Frith (1990)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “Weil uniformities for frames”
The category of uniform frames
Metric-fine uniform frames
Joanne L. Walters-Wayland (1998)
Commentationes Mathematicae Universitatis Carolinae
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A locallic version of Hager’s metric-fine spaces is presented. A general definition of -fineness is given and various special cases are considered, notably all metric frames, complete metric frames. Their interactions with each other, quotients, separability, completion and other topological properties are discussed.
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.
On extended frames
Jorge Picado (1995)
Commentationes Mathematicae Universitatis Carolinae
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Some aspects of extended frames are studied, namely, the behaviour of ideals, covers, admissible systems of covers and uniformities.