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Charles Fefferman, Pavel Shvartsman ( , Geometric and functional analysis)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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Fefferman, Charles L. ; Lee-Thorp, James P. ; Weinstein, Michael I. ( , Communications on Pure and Applied Mathematics)
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Fefferman, Charles ; Israel, Arie ; Luli, Garving ( , Revista Matemática Iberoamericana)