Realcompactifications of frames

 

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dc.contributor.advisor Gilmour, Christopher Robert Anderson en_ZA
dc.contributor.author Marcus, Nizar en_ZA
dc.date.accessioned 2015-10-28T05:29:53Z
dc.date.available 2015-10-28T05:29:53Z
dc.date.issued 1993 en_ZA
dc.identifier.citation Marcus, N. 1993. Realcompactifications of frames. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/14380
dc.description Bibliography: leaves 53-57. en_ZA
dc.description.abstract The first notion of realcompactness in frames was introduced by Reynolds [1979], and it was shown by Madden and Vermeer [1986] that this coincides with the Lindelof property. My thesis advisor suggested that more general realcompactifications of a frame L could be constructed by considering regular sub σ-frames which join generate L. This was motivated by the fact that the Alexandroff bases, which are used to construct the Wallman realcompactifications of a space X, are, as shown by Gilmour, simply the regular sub σ-frames of the frame of open sets of X. The key definition of realcompactness needed here is due to Schlitt [1990] and it is his construction of the universal realcompactification that we modify in order to obtain the Wallman realcompactifications. en_ZA
dc.language.iso eng en_ZA
dc.subject.other frame en_ZA
dc.subject.other σ-frame en_ZA
dc.subject.other realcompactification en_ZA
dc.title Realcompactifications of frames en_ZA
dc.type Thesis / Dissertation en_ZA
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Mathematics and Applied Mathematics en_ZA
dc.type.qualificationlevel Masters en_ZA
dc.type.qualificationname MSc en_ZA
uct.type.filetype Text
uct.type.filetype Image


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