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Countable inductive limits
Inductive systems and inductive limits have by now become fairly well established in the general theory of topological vector spaces. It is a branch of Functional Analysis which is receiving a reasonable amount of attention by modern mathematicians. It is of course a very interesting subject of its...
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2016
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| _version_ | 1867613308564013056 |
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| access_status_str | Open Access |
| author | Martens, Eric |
| author2 | Webb, John H |
| author_browse | Martens, Eric Webb, John H |
| author_facet | Webb, John H Martens, Eric |
| author_sort | Martens, Eric |
| collection | Thesis |
| description | Inductive systems and inductive limits have by now become fairly well established in the general theory of topological vector spaces. It is a branch of Functional Analysis which is receiving a reasonable amount of attention by modern mathematicians. It is of course a very interesting subject of its own accord, but is also useful in solving problems and proving theorems which one does not suspect are intimately related to it. As an example we can consider the proof of the non-existence of a countably infinite dimensional metrisable barrelled space. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/18366 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:34:03.682Z |
| 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:11427/18366 Countable inductive limits Martens, Eric Webb, John H Mathematics Topology Inductive systems and inductive limits have by now become fairly well established in the general theory of topological vector spaces. It is a branch of Functional Analysis which is receiving a reasonable amount of attention by modern mathematicians. It is of course a very interesting subject of its own accord, but is also useful in solving problems and proving theorems which one does not suspect are intimately related to it. As an example we can consider the proof of the non-existence of a countably infinite dimensional metrisable barrelled space. 2016-03-30T07:08:24Z 2016-03-30T07:08:24Z 1972 Master Thesis Masters MSc http://hdl.handle.net/11427/18366 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics Topology Martens, Eric Countable inductive limits |
| thesis_degree_str | Master's |
| title | Countable inductive limits |
| title_full | Countable inductive limits |
| title_fullStr | Countable inductive limits |
| title_full_unstemmed | Countable inductive limits |
| title_short | Countable inductive limits |
| title_sort | countable inductive limits |
| topic | Mathematics Topology |
| url | http://hdl.handle.net/11427/18366 |
| work_keys_str_mv | AT martenseric countableinductivelimits |