Fat Shellable Spheres
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914056014659584 |
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| author | Hinman, Joshua |
| author_facet | Hinman, Joshua |
| contents | The fatness of a 4-polytope or 3-sphere is defined as $(f_1+f_2-20)/(f_0+f_3-10)$. We construct arbitrarily fat, strongly regular CW 3-spheres that are both shellable and dual shellable. These spheres have $f$-vectors $(Θ(n),Θ(nα(n)),Θ(nα(n)),Θ(n))$, where $α$ is the inverse Ackermann function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20771 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fat Shellable Spheres Hinman, Joshua Combinatorics Geometric Topology 52B05 (Primary), 52B22 (Secondary), 06A08 (Secondary) The fatness of a 4-polytope or 3-sphere is defined as $(f_1+f_2-20)/(f_0+f_3-10)$. We construct arbitrarily fat, strongly regular CW 3-spheres that are both shellable and dual shellable. These spheres have $f$-vectors $(Θ(n),Θ(nα(n)),Θ(nα(n)),Θ(n))$, where $α$ is the inverse Ackermann function. |
| title | Fat Shellable Spheres |
| topic | Combinatorics Geometric Topology 52B05 (Primary), 52B22 (Secondary), 06A08 (Secondary) |
| url | https://arxiv.org/abs/2509.20771 |