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 |
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Pages (from-to) | 1279-1281 |
Number of pages | 3 |
Journal | Proceedings of the American Mathematical Society |
Volume | 148 |
Issue number | 3 |
DOIs | |
State | Published - 2020 |
Bibliographical note
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