A nonsmooth path-connectedness relation in the real plane
Logic
2025-02-18 v2
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}.
Cite
@article{arxiv.2501.07916,
title = {A nonsmooth path-connectedness relation in the real plane},
author = {Yusuf Uyar},
journal= {arXiv preprint arXiv:2501.07916},
year = {2025}
}