Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
Nearness and convergence in pointfree topology
Bibliography: leaves 99-106.
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mathematics and Applied Mathematics
2014
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867613266714296320 |
|---|---|
| access_status_str | Open Access |
| author | Naidoo, Inderasan |
| author2 | Gilmour, Christopher Robert Anderson |
| author_browse | Gilmour, Christopher Robert Anderson Naidoo, Inderasan |
| author_facet | Gilmour, Christopher Robert Anderson Naidoo, Inderasan |
| author_sort | Naidoo, Inderasan |
| collection | Thesis |
| description | Bibliography: leaves 99-106. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/5962 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:25.185Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| 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:11427/5962 Nearness and convergence in pointfree topology Naidoo, Inderasan Gilmour, Christopher Robert Anderson Mathematics and Applied Mathematics Bibliography: leaves 99-106. We introduce and investigate the concept of a nearness structure on a σ-frame. Analogues of the Samuel Compactification, Uniform Coreflection and Completion in the nearness σ-frame setting are obtained. Convergence in uniform frames is also a subject of this thesis integrating compactness, precompactness and paracompactness. Finally, the notion of uniform paracompactness is introduced and its relation with convergence is investigated. 2014-08-02T14:48:00Z 2014-08-02T14:48:00Z 2004 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/5962 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Naidoo, Inderasan Nearness and convergence in pointfree topology |
| thesis_degree_str | Doctoral |
| title | Nearness and convergence in pointfree topology |
| title_full | Nearness and convergence in pointfree topology |
| title_fullStr | Nearness and convergence in pointfree topology |
| title_full_unstemmed | Nearness and convergence in pointfree topology |
| title_short | Nearness and convergence in pointfree topology |
| title_sort | nearness and convergence in pointfree topology |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/5962 |
| work_keys_str_mv | AT naidooinderasan nearnessandconvergenceinpointfreetopology |