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Strong collapsibility of the arc complexes of orientable and non-orientable crowns (2402.10530v1)
Published 16 Feb 2024 in math.GN and math.CO
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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