The category of uniform frames
J. L. Frith (1990)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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J. L. Frith (1990)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Dharmanand Baboolal (1990)
Commentationes Mathematicae Universitatis Carolinae
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Greg M. Schlitt (1991)
Commentationes Mathematicae Universitatis Carolinae
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We investigate notions of -compactness for frames. We find that the analogues of equivalent conditions defining -compact spaces are no longer equivalent in the frame context. Indeed, the closed quotients of frame ‘-cubes’ are exactly 0-dimensional Lindelöf frames, whereas those frames which satisfy a property based on the ultrafilter condition for spatial -compactness form a much larger class, and better embody what ‘-compact frames’ should be. This latter property is expressible...