Hyperconvexity in partial metric spaces: challenges and outlooks
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917234228592640 |
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| author | Bugajewski, Dariusz Kasprzak, Piotr Olela-Otafudu, Olivier |
| author_facet | Bugajewski, Dariusz Kasprzak, Piotr Olela-Otafudu, Olivier |
| contents | In this article, we present several different ways to define hyperconvexity in partial metric spaces. In particular, we show that the analogue of the Aronszajn--Panitchpakdi notion of hyperconvexity fails to exhibit certain key properties present in the classical metric setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02279 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hyperconvexity in partial metric spaces: challenges and outlooks Bugajewski, Dariusz Kasprzak, Piotr Olela-Otafudu, Olivier General Topology Functional Analysis 54E35, 52A01 In this article, we present several different ways to define hyperconvexity in partial metric spaces. In particular, we show that the analogue of the Aronszajn--Panitchpakdi notion of hyperconvexity fails to exhibit certain key properties present in the classical metric setting. |
| title | Hyperconvexity in partial metric spaces: challenges and outlooks |
| topic | General Topology Functional Analysis 54E35, 52A01 |
| url | https://arxiv.org/abs/2601.02279 |