Displaying similar documents to “A new look at pointfree metrization theorems”

Metrizability of σ -frames

M. Mehdi Ebrahimi, M. Vojdani Tabatabaee, M. Mahmoudi (2004)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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On the paracompactness of frames

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.

Pseudocompactness and the cozero part of a frame

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 σ -frame and to Alexandroff spaces.