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Keywords:
pseudocompact frames; $\sigma$-frames; cozero elements and Alexandroff spaces
pseudocompact frames; $\sigma$-frames; cozero elements and Alexandroff spaces
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.
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