Different forms of metric characterizations of classes of Banach spaces

Abstract

For each sequence {Xm}m=1 of finite-dimensional Banach spaces there exists a sequence {Hn}n=1 of finite connected unweighted graphs with maximum degree 3 such that the following conditions on a Banach space Y are equivalent: • Y admits uniformly isomorphic embeddings of {Xm}m=1. • Y admits uniformly bilipschitz embeddings of {Hn}n=1. 2010 Mathematics… (More)

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