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Realcompactifications of frames
Bibliography: leaves 53-57.
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2015
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| _version_ | 1867613265525211136 |
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| access_status_str | Open Access |
| author | Marcus, Nizar |
| author2 | Gilmour, Christopher Robert Anderson |
| author_browse | Gilmour, Christopher Robert Anderson Marcus, Nizar |
| author_facet | Gilmour, Christopher Robert Anderson Marcus, Nizar |
| author_sort | Marcus, Nizar |
| collection | Thesis |
| description | Bibliography: leaves 53-57. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/14380 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:23.204Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2015 |
| publishDateRange | 2015 |
| publishDateSort | 2015 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/14380 Realcompactifications of frames Marcus, Nizar Gilmour, Christopher Robert Anderson frame σ-frame realcompactification Bibliography: leaves 53-57. 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. 2015-10-28T05:29:53Z 2015-10-28T05:29:53Z 1993 Master Thesis Masters MSc http://hdl.handle.net/11427/14380 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | frame σ-frame realcompactification Marcus, Nizar Realcompactifications of frames |
| thesis_degree_str | Master's |
| title | Realcompactifications of frames |
| title_full | Realcompactifications of frames |
| title_fullStr | Realcompactifications of frames |
| title_full_unstemmed | Realcompactifications of frames |
| title_short | Realcompactifications of frames |
| title_sort | realcompactifications of frames |
| topic | frame σ-frame realcompactification |
| url | http://hdl.handle.net/11427/14380 |
| work_keys_str_mv | AT marcusnizar realcompactificationsofframes |