Obtaining trees of tangles from tangle-tree duality
| Autor: | Christian Elbracht, Jakob Kneip, Maximilian Teegen |
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| Rok vydání: | 2020 |
| Předmět: | |
| DOI: | 10.48550/arxiv.2011.09758 |
| Popis: | We demonstrate the versatility of the tangle-tree duality theorem for abstract separation systems by using it to prove tree-of-tangles theorems. This approach allows us to strengthen some of the existing tree-of-tangles theorems by bounding the node degrees in them. We also present a slight strengthening and simplified proof of the duality theorem, which allows us to derive a tree-of-tangles theorem also for tangles of different orders. Comment: 29 pages |
| Databáze: | OpenAIRE |
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