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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 thi...
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2023
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| _version_ | 1867613142459088896 |
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| access_status_str | Open Access |
| author | Gilmour, Christopher |
| author2 | Brummer, G |
| author_browse | Brummer, G Gilmour, Christopher |
| author_facet | Brummer, G Gilmour, Christopher |
| author_sort | Gilmour, Christopher |
| collection | Thesis |
| description | 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 this axiom. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/39013 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:31:26.417Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| 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:11427/39013 Zero-set spaces and Pseudocompactness Gilmour, Christopher Brummer, G 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 this axiom. 2023-10-02T14:18:33Z 2023-10-02T14:18:33Z 1974 2023-10-02T10:35:08Z Master Thesis Masters Masters http://hdl.handle.net/11427/39013 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science |
| spellingShingle | Pseudocompactness Gilmour, Christopher Zero-set spaces and Pseudocompactness |
| thesis_degree_str | Master's |
| title | Zero-set spaces and Pseudocompactness |
| title_full | Zero-set spaces and Pseudocompactness |
| title_fullStr | Zero-set spaces and Pseudocompactness |
| title_full_unstemmed | Zero-set spaces and Pseudocompactness |
| title_short | Zero-set spaces and Pseudocompactness |
| title_sort | zero set spaces and pseudocompactness |
| topic | Pseudocompactness |
| url | http://hdl.handle.net/11427/39013 |
| work_keys_str_mv | AT gilmourchristopher zerosetspacesandpseudocompactness |