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arXiv · 1801.00325

Sharp finiteness principles for Lipschitz selections

Charles Fefferman·Pavel Shvartsman
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Abstract

Let $(M,ρ)$ be a metric space and let $Y$ be a Banach space. Given a positive integer $m$, let $F$ be a set-valued mapping from $M$ into the family of all compact convex subsets of $Y$ of dimension at most $m$. In this paper we prove a finiteness principle for the existence of a Lipschitz selection of $F$ with the sharp value of the finiteness constant.

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Charles Fefferman, Pavel Shvartsman. 2018-08-03. Sharp finiteness principles for Lipschitz selections. https://arxiv.org/abs/1801.00325

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