Stable closed frame homomorphisms

Xiandong Chen

Displaying similar documents to “Stable closed frame homomorphisms”

Conditions under which the least compactification of a regular continuous frame is perfect

Dharmanand Baboolal (2012)

Czechoslovak Mathematical Journal

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We characterize those regular continuous frames for which the least compactification is a perfect compactification. Perfect compactifications are those compactifications of frames for which the right adjoint of the compactification map preserves disjoint binary joins. Essential to our characterization is the construction of the frame analog of the two-point compactification of a locally compact Hausdorff space, and the concept of remainder in a frame compactification. Indeed, one of...

Semiregular frames

Jan Paseka, Bohumil Šmarda (1990)

Archivum Mathematicum

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Another look at the localic Tychonoff theorem

Bernhard Banaschewski (1988)

Commentationes Mathematicae Universitatis Carolinae

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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.