Mud, Ruben (2023) Topics in Betweenness and Enriched Categories. Master's Thesis / Essay, Mathematics.
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Abstract
By making an adjustment in the axiomatization of betweenness, we find new but very general examples of betweenness spaces. In particular it turns out that enriched categories come equipped with a betweenness relation and that betweenness spaces can be thought of as enriched categories. In this line of thought we construct functors between the category of betweenness spaces and the category of enriched categories equipped with some suitable notion of morphism. We introduce the concepts of betweenness and enriched categories formally and accompanied by various examples.
| Item Type: | Thesis (Master's Thesis / Essay) |
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| Supervisor name: | Lorscheid, O. and Top, J. |
| Degree programme: | Mathematics |
| Thesis type: | Master's Thesis / Essay |
| Language: | English |
| Date Deposited: | 11 Oct 2023 07:36 |
| Last Modified: | 15 Mar 2024 09:56 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/31494 |
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