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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.03186 |
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Table of 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.