Fan-Gottesman type compactification of frames

Dharmanand Baboolal

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Displaying similar documents to “Fan-Gottesman type compactification of frames”

Semiregular frames

Jan Paseka, Bohumil Šmarda (1990)

Archivum Mathematicum

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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.

Realcompactification of frames

Nizar Marcus (1995)

Commentationes Mathematicae Universitatis Carolinae

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We give a construction of Wallman-type realcompactifications of a frame $L$ by considering regular sub $σ$ -frames the join of which generates $L$ . In particular, we show that the largest such regular sub $σ$ -frame gives rise to the universal realcompactification of $L$ .