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Pseudocompactness and the cozero part of a frame. (English) Zbl 0881.54018
Summary: A characterization of the cozero elements of a frame, without reference to the reals, is given and is used to obtain a characterization of pseudocompactness also independent of the reals. Applications are made to the congruence frame of a \(\sigma \)-frame and to Alexandroff spaces.

MSC:
54C50 Topology of special sets defined by functions
06B10 Lattice ideals, congruence relations
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
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