Convexity, critical points, and connectivity radius

Mikhail G. Katz

doi:10.1090/proc/14892

Convexity, critical points, and connectivity radius

Mikhail G. Katz

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

We study the level sets of the distance function from a boundary point of a convex set in Euclidean space. We provide a lower bound for the range of connectivity of the level sets in terms of the critical points of the distance function in the sense of Grove-Shiohama-Gromov-Cheeger.

Original language	English
Pages (from-to)	1279-1281
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	148
Issue number	3
DOIs	https://doi.org/10.1090/proc/14892
State	Published - 2020

All Science Journal Classification (ASJC) codes

Applied Mathematics
General Mathematics

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10.1090/proc/14892

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AB - We study the level sets of the distance function from a boundary point of a convex set in Euclidean space. We provide a lower bound for the range of connectivity of the level sets in terms of the critical points of the distance function in the sense of Grove-Shiohama-Gromov-Cheeger.

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DO - 10.1090/proc/14892

M3 - مقالة

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EP - 1281

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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Convexity, critical points, and connectivity radius

Abstract

All Science Journal Classification (ASJC) codes

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