Compact ultrametric spaces generated by labeled star graphs
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866913775152529408 |
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| author | Dovgoshey, Oleksiy Cantor, Omer Rovenska, Olga |
| author_facet | Dovgoshey, Oleksiy Cantor, Omer Rovenska, Olga |
| contents | Let US be the class of all ultrametric spaces generated by labeled star graphs. We prove that compact US-spaces are the completions of totally bounded ultrametric spaces generated by decreasingly labeled rays. We characterize the ultrametric spaces which are weakly similar to finite US-spaces and describe these spaces by certain four-point conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02425 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Compact ultrametric spaces generated by labeled star graphs Dovgoshey, Oleksiy Cantor, Omer Rovenska, Olga General Topology Primary 54E35, Secondary 54E4 Let US be the class of all ultrametric spaces generated by labeled star graphs. We prove that compact US-spaces are the completions of totally bounded ultrametric spaces generated by decreasingly labeled rays. We characterize the ultrametric spaces which are weakly similar to finite US-spaces and describe these spaces by certain four-point conditions. |
| title | Compact ultrametric spaces generated by labeled star graphs |
| topic | General Topology Primary 54E35, Secondary 54E4 |
| url | https://arxiv.org/abs/2504.02425 |