Strong collapsibility of the arc complexes of orientable and non-orientable crowns
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913235735674880 |
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| author | Panda, Pallavi |
| author_facet | Panda, Pallavi |
| contents | We prove that the arc complex of a polygon with a marked point in its interior is a strongly collapsible combinatorial ball. We also show that the arc complex of a Möbius strip, with finitely many marked points on its boundary, is a simplicially collapsible combinatorial ball but is not strongly collapsible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10530 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strong collapsibility of the arc complexes of orientable and non-orientable crowns Panda, Pallavi General Topology Combinatorics We prove that the arc complex of a polygon with a marked point in its interior is a strongly collapsible combinatorial ball. We also show that the arc complex of a Möbius strip, with finitely many marked points on its boundary, is a simplicially collapsible combinatorial ball but is not strongly collapsible. |
| title | Strong collapsibility of the arc complexes of orientable and non-orientable crowns |
| topic | General Topology Combinatorics |
| url | https://arxiv.org/abs/2402.10530 |