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The right exactness of the smooth right Puppe sequence
Bibliography: pages 64-65.
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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_ | 1867611348971552768 |
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| access_status_str | Open Access |
| author | Dugmore, Brett |
| author2 | Cherenack, Paul F |
| author_browse | Cherenack, Paul F Dugmore, Brett |
| author_facet | Cherenack, Paul F Dugmore, Brett |
| author_sort | Dugmore, Brett |
| collection | Thesis |
| description | Bibliography: pages 64-65. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/16108 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| 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:11427/16108 The right exactness of the smooth right Puppe sequence Dugmore, Brett Cherenack, Paul F Mathematics and Applied Mathematics Bibliography: pages 64-65. It was our aim, in this thesis, to give a proof that the smooth right Puppe sequence exists and is right exact, following the methods used by Whitehead in (30], and where he shows that the usual continuous right Puppe sequence exists and is right exact. We have only partially been able meet this aim. We have attempted to follow the general approach of Steenrod [27], where he defines neighbourhood deformation retracts, but there are some difficulties involved in the theory of smooth neighbourhood deformation retracts that have made it necessary for us to assume the existence of a 'suitable' smooth structure on products such as I x X x Y, where (X, A), and (Y, B) are smooth neighbourhood deformation retracts, such that the product, defined as (X x Y, Ax Y U X x A), is an SNDR pair under this 'suitable' product structure. This enables us to develop the theory of smooth neighbourhood deformation retracts in a similar way to the theory of continuous neighbourhood deformation retracts. 2016-01-02T04:38:50Z 2016-01-02T04:38:50Z 1996 Master Thesis Masters MSc http://hdl.handle.net/11427/16108 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Dugmore, Brett The right exactness of the smooth right Puppe sequence |
| thesis_degree_str | Master's |
| title | The right exactness of the smooth right Puppe sequence |
| title_full | The right exactness of the smooth right Puppe sequence |
| title_fullStr | The right exactness of the smooth right Puppe sequence |
| title_full_unstemmed | The right exactness of the smooth right Puppe sequence |
| title_short | The right exactness of the smooth right Puppe sequence |
| title_sort | right exactness of the smooth right puppe sequence |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/16108 |
| work_keys_str_mv | AT dugmorebrett therightexactnessofthesmoothrightpuppesequence AT dugmorebrett rightexactnessofthesmoothrightpuppesequence |