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Article Citation - WoS: 1Distortion in the Metric Characterization of Superreflexivity in Terms of the Infinite Binary Tree(Element, 2022) Ostrovska, SofiyaThe article presents a quantitative refinement of the result of Baudier (Archiv Math., 89 (2007), no. 5, 419-429): the infinite binary tree admits a bilipschitz embedding into an arbitrary non-superreflexive Banach space. According to the results of this paper, we can additionally require that, for an arbitrary epsilon > 0 and an arbitrary non-superreflexive Banach space X, there is an embedding of the infinite binary tree into X whose distortion does not exceed 4 + epsilon .
