Metrizability of -frames
M. Mehdi Ebrahimi, M. Vojdani Tabatabaee, M. Mahmoudi (2004)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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M. Mehdi Ebrahimi, M. Vojdani Tabatabaee, M. Mahmoudi (2004)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Xiangdong Chen (1992)
Commentationes Mathematicae Universitatis Carolinae
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Through the study of frame congruences, new characterizations of the paracompactness of frames are obtained.
Aleš Pultr, Josef Úlehla (1989)
Commentationes Mathematicae Universitatis Carolinae
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Bernhard Banaschewski, Christopher Gilmour (1996)
Commentationes Mathematicae Universitatis Carolinae
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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 -frame and to Alexandroff spaces.