Jon Wilson
Shellability and Sphericity of Finite Quasi-arc Complexes
Wilson, Jon
Authors
Abstract
Quasi-triangulations of a non-orientable surface were introduced by Dupont and Palesi (J Algebr Comb 42(2):429–472, 2015). The quasi-arc complex provides an intricate description of the combinatorics of these quasi-triangulations. This is the simplicial complex where vertices correspond to quasi-arcs and maximal simplices to quasi-triangulations. We prove that when the quasi-arc complex is finite then it is shellable and, as a consequence, it is homeomorphic to a sphere.
Citation
Wilson, J. (2018). Shellability and Sphericity of Finite Quasi-arc Complexes. Discrete & Computational Geometry, 59(3), 680-706. https://doi.org/10.1007/s00454-017-9929-0
| Journal Article Type | Article |
|---|---|
| Acceptance Date | Jul 26, 2017 |
| Online Publication Date | Oct 2, 2017 |
| Publication Date | Apr 1, 2018 |
| Deposit Date | Mar 15, 2018 |
| Publicly Available Date | Mar 15, 2018 |
| Journal | Discrete and Computational Geometry |
| Print ISSN | 0179-5376 |
| Electronic ISSN | 1432-0444 |
| Publisher | Springer |
| Peer Reviewed | Peer Reviewed |
| Volume | 59 |
| Issue | 3 |
| Pages | 680-706 |
| DOI | https://doi.org/10.1007/s00454-017-9929-0 |
| Public URL | https://durham-repository.worktribe.com/output/1337803 |
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Copyright Statement
© The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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