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Pseudocompactness and the cozero part of a frame

Bernhard Banaschewski; Christopher Gilmour — 1996

Commentationes Mathematicae Universitatis Carolinae

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 $σ$ -frame and to Alexandroff spaces.

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