Lipschitz subtype

2018/10/12 by Ryan M. Causey, Causey, R. M.
Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Dynamics and Fractals #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.1810.05707

openalex publication_date 2018/10/12 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

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.

Related

• Factorization and piecewise affine approximation of bi-Lipschitz mappings on large sets
• Lipschitz mappings, metric differentiability, and factorization through metric trees
• Lower bounds on mapping content and quantitative factorization through trees
• Mapping Analytic sets onto cubes by little Lipschitz functions
• Log-Lipschitz embeddings of homogeneous sets with sharp logarithmic exponents and slicing the unit cube