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arXiv · 2402.10530

Strong collapsibility of the arc complexes of orientable and non-orientable crowns

Pallavi Panda
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Abstract

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 M\"{o}bius strip, with finitely many marked points on its boundary, is a simplicially collapsible combinatorial ball but is not strongly collapsible.

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Pallavi Panda. 2024-02-16. Strong collapsibility of the arc complexes of orientable and non-orientable crowns. https://arxiv.org/abs/2402.10530

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