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Realcompact Alexandroff spaces and regular σ-frames
Bibliography: pages 96-103.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2016
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| _version_ | 1867613173761179648 |
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| access_status_str | Open Access |
| author | Gilmour, Christopher Robert Anderson |
| author2 | Brümmer, Guillaume C L |
| author_browse | Brümmer, Guillaume C L Gilmour, Christopher Robert Anderson |
| author_facet | Brümmer, Guillaume C L Gilmour, Christopher Robert Anderson |
| author_sort | Gilmour, Christopher Robert Anderson |
| collection | Thesis |
| description | Bibliography: pages 96-103. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/21395 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:31:56.645Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| 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:11427/21395 Realcompact Alexandroff spaces and regular σ-frames Gilmour, Christopher Robert Anderson Brümmer, Guillaume C L Realcompact spaces Bibliography: pages 96-103. In the early 1940's, A.D. Alexandroff [1940), [1941) and [1943] introduced a concept of space, more general than topological space, in order to obtain a simple connection between a space and the system of real-valued functions defined on it. Such a connection aided the investigation of the relationships between the linear functionals on these systems of functions and the additive set functions defined on the space. The Alexandroff spaces of this thesis are what Alexandroff himself called the completely normal spaces and what H. Gordon [1971) called the zero-set spaces. 2016-08-22T12:02:52Z 2016-08-22T12:02:52Z 1981 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/21395 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Realcompact spaces Gilmour, Christopher Robert Anderson Realcompact Alexandroff spaces and regular σ-frames |
| thesis_degree_str | Doctoral |
| title | Realcompact Alexandroff spaces and regular σ-frames |
| title_full | Realcompact Alexandroff spaces and regular σ-frames |
| title_fullStr | Realcompact Alexandroff spaces and regular σ-frames |
| title_full_unstemmed | Realcompact Alexandroff spaces and regular σ-frames |
| title_short | Realcompact Alexandroff spaces and regular σ-frames |
| title_sort | realcompact alexandroff spaces and regular σ frames |
| topic | Realcompact spaces |
| url | http://hdl.handle.net/11427/21395 |
| work_keys_str_mv | AT gilmourchristopherrobertanderson realcompactalexandroffspacesandregularsframes |