A nonsmooth path-connectedness relation in the real plane

Yusuf Uyar

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arXiv · 2501.07916

A nonsmooth path-connectedness relation in the real plane

Yusuf Uyar

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Abstract

In this paper, we construct a compact subset of the real plane whose path-connectedness equivalence relation is Borel bireducible to a nonsmooth hyperfinite Borel equivalence relation. This answers a question of \cite{bec98}.

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Yusuf Uyar. 2025-01-14. A nonsmooth path-connectedness relation in the real plane. https://arxiv.org/abs/2501.07916

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