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Borel graphs generated by finitely many bounded-to-1 commuting Borel functions and hyperfinite equivalence relations

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arxiv 2608.01231 v1 pith:P7YPUSC3 submitted 2026-08-02 math.LO

classification math.LO
keywords borelbounded-to-1commutingfinitelyfunctionsgeneratedhyperfinitemany
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We show that a Borel graph generated by finitely many bounded-to-1 commuting functions is hyperfinite. This recovers a theorem in the forthcoming paper by Naryshkin, Shinko, Weilacher and Yu.

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