The Nevo--Santos--Wilson spheres are shellable
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866917669278580736 |
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| author | Yang, Yirong |
| author_facet | Yang, Yirong |
| contents | Nevo, Santos, and Wilson constructed $2^{Ω(N^d)}$ combinatorially distinct simplicial $(2d-1)$-spheres with $N$ vertices. We prove that all spheres produced by one of their methods are shellable. Combining this with prior results of Kalai, Lee, and Benedetti and Ziegler, we conclude that for all $D \ge 3$, there are $2^{Θ(N^{\lceil D/2 \rceil})}$ shellable simplicial $D$-spheres with $N$ vertices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_03186 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Nevo--Santos--Wilson spheres are shellable Yang, Yirong Combinatorics Nevo, Santos, and Wilson constructed $2^{Ω(N^d)}$ combinatorially distinct simplicial $(2d-1)$-spheres with $N$ vertices. We prove that all spheres produced by one of their methods are shellable. Combining this with prior results of Kalai, Lee, and Benedetti and Ziegler, we conclude that for all $D \ge 3$, there are $2^{Θ(N^{\lceil D/2 \rceil})}$ shellable simplicial $D$-spheres with $N$ vertices. |
| title | The Nevo--Santos--Wilson spheres are shellable |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2305.03186 |