Borel reducibility and finitely Hölder (α) embeddability

Annals of Pure and Applied Logic 162 (12):970-980 (2011)

Abstract
Let , be a sequence of pseudo-metric spaces, and let p≥1. For , let . For Borel reducibility between equivalence relations , we show it is closely related to finitely Hölder embeddability between pseudo-metric spaces
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DOI 10.1016/j.apal.2011.06.002
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