A Lower Bound on the Waist of Unit Spheres of Uniformly Convex Normed Spaces - Mathematics > Metric GeometryReport as inadecuate




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Abstract: In this paper we give a lower bound on the waist of the unit sphere of auniformly convex normed space by using the localization technique incodimension greater than one and a strong version of the Borsuk-Ulam theorem.The tools used in this paper follow ideas of M. Gromov in 4. Ourisoperimetric type inequality generalizes the Gromov-Milman isoperimetricinequality in 5.



Author: Yashar Memarian

Source: https://arxiv.org/



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