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Showing 1 to 3 of 3 for “"Pseudocompactness"”.
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Zero-set spaces and Pseudocompactness
We are concerned in this thesis with the intrinsic properties of zero-set spaces and their relationship to other topological-type structures. Our definition of a z-space coincides with that of Gordon's zero set space without the point separation axiom. It is of interest that C:a11fell also omits …
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Pseudocompactifications and pseudocompact spaces
… of pseudocompact spaces and relate pseudocompactness to other forms of compactness such as light compactness, countable compactness, weak compactness, etc. Some theorems on properties of subspaces of pseudocompact spaces are presented. In particular, conditions are given for the …
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Bisigma frames
… and regular Lindelöf coreflections for biframes. Pseudocompactness for biframes is defined in a natural way and characterised in terms of the cozero part. Finally we obtain the σ-frame analogue of the result that characterises the stably continuous frames in terms of the compact regular biframes.