학술논문
Strong collapsibility of the arc complexes of orientable and non-orientable crowns
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Working Paper
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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.