regular monomorphisms in the category of Hausdorff frames are characterized by means of a naturally defined closure operator; this is used also to characterize the epimorphisms. Further it is shown that for spatial (strongly) Hausdorff frames the regular monomorphisms do not generally coincide with quotients, and so not generally compose. Also, an additional property (under which regular mono morphisms do compose) is briefly studied.
Regular monomorphisms of Hausdorff Frames
TOZZI, Anna
2001-01-01
Abstract
regular monomorphisms in the category of Hausdorff frames are characterized by means of a naturally defined closure operator; this is used also to characterize the epimorphisms. Further it is shown that for spatial (strongly) Hausdorff frames the regular monomorphisms do not generally coincide with quotients, and so not generally compose. Also, an additional property (under which regular mono morphisms do compose) is briefly studied.File in questo prodotto:
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