Every generating polytope is strongly monotypic
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866915384193449984 |
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| author | Bui, Vuong |
| author_facet | Bui, Vuong |
| contents | We prove an old conjecture of McMullen, Schneider and Shephard that every polytope with the generating property is strongly monotypic. The other direction is already known, which implies that strong monotypy and the generating property for polytopes are the same notion. A criterion for monotypic and strongly monotypic polytopes is also given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_07690 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Every generating polytope is strongly monotypic Bui, Vuong Combinatorics 52B11, 52B12 We prove an old conjecture of McMullen, Schneider and Shephard that every polytope with the generating property is strongly monotypic. The other direction is already known, which implies that strong monotypy and the generating property for polytopes are the same notion. A criterion for monotypic and strongly monotypic polytopes is also given. |
| title | Every generating polytope is strongly monotypic |
| topic | Combinatorics 52B11, 52B12 |
| url | https://arxiv.org/abs/2210.07690 |