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arXiv · 2601.02279

Hyperconvexity in partial metric spaces: challenges and outlooks

Dariusz Bugajewski·Piotr Kasprzak·Olivier Olela-Otafudu
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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.

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Dariusz Bugajewski, Piotr Kasprzak, Olivier Olela-Otafudu. 2026-01-05. Hyperconvexity in partial metric spaces: challenges and outlooks. https://arxiv.org/abs/2601.02279

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