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Some combinatorial aspects in algebraic topology and geometric group theory
The present Msc thesis deals with classical topics of topology and it has been written, referring to [C. Kosniowski, Introduction to Algebraic Topology, Cambridge University Press, 1980, Cambridge], which is a well known textbook of algebraic topology. It has been selected a list of main exercises f...
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2019
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| _version_ | 1867613206800760832 |
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| access_status_str | Open Access |
| author | Bavuma, Yanga |
| author_browse | Bavuma, Yanga |
| author_facet | Bavuma, Yanga |
| author_sort | Bavuma, Yanga |
| collection | Thesis |
| description | The present Msc thesis deals with classical topics of topology and it has been written, referring to [C. Kosniowski, Introduction to Algebraic Topology, Cambridge University Press, 1980, Cambridge], which is a well known textbook of algebraic topology. It has been selected a list of main exercises from this reference, whose solutions were not directly available, or subject to differerent methods. In fact combinatorial methods have been preferred and the result is a self-contained dissertation on the theory of the fundamental group and of the coverings. Finally, there are some recent problems in geometric group theory which are related to the presence of finitely presented groups which appear naturally as fundamental groups. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/29763 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:27.580Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2019 |
| publishDateRange | 2019 |
| publishDateSort | 2019 |
| 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:11427/29763 Some combinatorial aspects in algebraic topology and geometric group theory Bavuma, Yanga Mathematics and Applied Mathematics The present Msc thesis deals with classical topics of topology and it has been written, referring to [C. Kosniowski, Introduction to Algebraic Topology, Cambridge University Press, 1980, Cambridge], which is a well known textbook of algebraic topology. It has been selected a list of main exercises from this reference, whose solutions were not directly available, or subject to differerent methods. In fact combinatorial methods have been preferred and the result is a self-contained dissertation on the theory of the fundamental group and of the coverings. Finally, there are some recent problems in geometric group theory which are related to the presence of finitely presented groups which appear naturally as fundamental groups. 2019-02-22T11:34:56Z 2019-02-22T11:34:56Z 2018 2019-02-21T10:38:21Z Master Thesis Masters MSc http://hdl.handle.net/11427/29763 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Bavuma, Yanga Some combinatorial aspects in algebraic topology and geometric group theory |
| thesis_degree_str | Master's |
| title | Some combinatorial aspects in algebraic topology and geometric group theory |
| title_full | Some combinatorial aspects in algebraic topology and geometric group theory |
| title_fullStr | Some combinatorial aspects in algebraic topology and geometric group theory |
| title_full_unstemmed | Some combinatorial aspects in algebraic topology and geometric group theory |
| title_short | Some combinatorial aspects in algebraic topology and geometric group theory |
| title_sort | some combinatorial aspects in algebraic topology and geometric group theory |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/29763 |
| work_keys_str_mv | AT bavumayanga somecombinatorialaspectsinalgebraictopologyandgeometricgrouptheory |