A nonsmooth path-connectedness relation in the real plane

2025/01/14 by Uyar, Yusuf
#FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2501.07916

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 \citebec98.

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