TL;DR
This paper establishes precise conditions under which Lipschitz maps can factor Hamming cubes, extending a known spatial result to a broader class of Lipschitz maps.
Contribution
It provides necessary and sufficient conditions for Lipschitz maps to factor Hamming cubes, generalizing a key spatial result to Lipschitz families.
Findings
Characterization of Lipschitz maps factoring Hamming cubes
Extension of Bourgain, Milman, and Wolfson's spatial result
Conditions for uniform Lipschitz families to factor Hamming cubes
Abstract
We give necessary and sufficient conditions for a Lipschitz map, or more generally a uniformly Lipschitz family of maps, to factor the Hamming cubes. This is an extension to Lipschitz maps of a particular spatial result of Bourgain, Milman, and Wolfson.
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Taxonomy
TopicsAdvanced Banach Space Theory · Mathematical Dynamics and Fractals · Advanced Topology and Set Theory