Geodesic
Pseudocompactness and the cozero part of a frame
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 3, pp. 577-587.

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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.
Classification : 06B10, 54C50, 54D20
Keywords: pseudocompact frames; $\sigma$-frames; cozero elements and Alexandroff spaces 
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     title = {Pseudocompactness and the cozero part of a frame},
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Banaschewski, Bernhard; Gilmour, Christopher. Pseudocompactness and the cozero part of a frame. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 3, pp. 577-587. http://geodesic.mathdoc.fr/item/CMUC_1996__37_3_a14/