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 the quotients, and do not generally compose. Also, an additional property (under which regular monomorphisms do compose) is briefly studied.
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Plewe, T., Pultr, A. & Tozzi, A. Regular Monomorphisms of Hausdorff Frames. Applied Categorical Structures 9, 15–33 (2001). https://doi.org/10.1023/A:1008600626778
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DOI: https://doi.org/10.1023/A:1008600626778