On Helly number for crystals and cut-and-project sets
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2016
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| _version_ | 1866916122534608896 |
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| author | Garber, Alexey |
| author_facet | Garber, Alexey |
| contents | We prove existence of Helly numbers for crystals and for cut-and-project sets with convex windows. Also we show that for a two-dimensional crystal consisting of $k$ copies of a single lattice the Helly number does not exceed $k+6$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1605_07881 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | On Helly number for crystals and cut-and-project sets Garber, Alexey Metric Geometry Combinatorics We prove existence of Helly numbers for crystals and for cut-and-project sets with convex windows. Also we show that for a two-dimensional crystal consisting of $k$ copies of a single lattice the Helly number does not exceed $k+6$. |
| title | On Helly number for crystals and cut-and-project sets |
| topic | Metric Geometry Combinatorics |
| url | https://arxiv.org/abs/1605.07881 |