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H-closed spaces and almost realcompact spaces
It was P. Alexandroff and P. Urysohn who first introduced the class of H-closed spaces. Since then, it has evoked the interest of many topologists. The concept of H-closedness is closely related to that of compactness, and it is for this reason that attempts have been made to see what theorems about...
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2023
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| _version_ | 1867614412996608000 |
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| access_status_str | Open Access |
| author | Halpin, Katherine |
| author2 | Salbany, S |
| author_browse | Halpin, Katherine Salbany, S |
| author_facet | Salbany, S Halpin, Katherine |
| author_sort | Halpin, Katherine |
| collection | Thesis |
| description | It was P. Alexandroff and P. Urysohn who first introduced the class of H-closed spaces. Since then, it has evoked the interest of many topologists. The concept of H-closedness is closely related to that of compactness, and it is for this reason that attempts have been made to see what theorems about compactness hold for H-closedness. Miroslav Katetov constructed an analogue to the Stone-tech cornpactification, which is the Katetov H-closed extension. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/38857 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:51:38.625Z |
| 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:11427/38857 H-closed spaces and almost realcompact spaces Halpin, Katherine Salbany, S H-closed spaces It was P. Alexandroff and P. Urysohn who first introduced the class of H-closed spaces. Since then, it has evoked the interest of many topologists. The concept of H-closedness is closely related to that of compactness, and it is for this reason that attempts have been made to see what theorems about compactness hold for H-closedness. Miroslav Katetov constructed an analogue to the Stone-tech cornpactification, which is the Katetov H-closed extension. 2023-09-26T14:19:14Z 2023-09-26T14:19:14Z 1974 2023-09-26T12:58:30Z Master Thesis Masters MSc http://hdl.handle.net/11427/38857 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science |
| spellingShingle | H-closed spaces Halpin, Katherine H-closed spaces and almost realcompact spaces |
| thesis_degree_str | Master's |
| title | H-closed spaces and almost realcompact spaces |
| title_full | H-closed spaces and almost realcompact spaces |
| title_fullStr | H-closed spaces and almost realcompact spaces |
| title_full_unstemmed | H-closed spaces and almost realcompact spaces |
| title_short | H-closed spaces and almost realcompact spaces |
| title_sort | h closed spaces and almost realcompact spaces |
| topic | H-closed spaces |
| url | http://hdl.handle.net/11427/38857 |
| work_keys_str_mv | AT halpinkatherine hclosedspacesandalmostrealcompactspaces |