Hyperconvexity in partial metric spaces: challenges and outlooks
General Topology
2026-02-02 v2 Functional Analysis
Abstract
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.
Cite
@article{arxiv.2601.02279,
title = {Hyperconvexity in partial metric spaces: challenges and outlooks},
author = {Dariusz Bugajewski and Piotr Kasprzak and Olivier Olela-Otafudu},
journal= {arXiv preprint arXiv:2601.02279},
year = {2026}
}
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10 pages