Strong collapsibility of the arc complexes of orientable and non-orientable crowns
General Topology
2024-02-19 v1 Combinatorics
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.
Cite
@article{arxiv.2402.10530,
title = {Strong collapsibility of the arc complexes of orientable and non-orientable crowns},
author = {Pallavi Panda},
journal= {arXiv preprint arXiv:2402.10530},
year = {2024}
}