On certain properties of the Petty space
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915613226565632 |
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| author | Mercourakis, S. K. Vassiliadis, G. |
| author_facet | Mercourakis, S. K. Vassiliadis, G. |
| contents | We study some touching properties of the three-dimensional Petty space $X=(\ell_2^2 \oplus \mathbb{R})_1$. In particular we give an estimation of its Hadwiger number and also show that its equilateral subsets $A$ of maximum cardinality (i.e. $|A|=e(X)$) do not have a center. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09673 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On certain properties of the Petty space Mercourakis, S. K. Vassiliadis, G. Metric Geometry 52C99 (Primary) 46B20 (Secondary) We study some touching properties of the three-dimensional Petty space $X=(\ell_2^2 \oplus \mathbb{R})_1$. In particular we give an estimation of its Hadwiger number and also show that its equilateral subsets $A$ of maximum cardinality (i.e. $|A|=e(X)$) do not have a center. |
| title | On certain properties of the Petty space |
| topic | Metric Geometry 52C99 (Primary) 46B20 (Secondary) |
| url | https://arxiv.org/abs/2511.09673 |