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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2024 Volume 115, Issue 4, Pages 626–633 (Mi mzm13817)
This article is cited in 1 paper

On Locally Chebyshev Sets

K. S. Shklyaevab

a Lomonosov Moscow State University
b Moscow Center for Fundamental and Applied Mathematics

Abstract: It is proved that every connected boundedly compact locally Chebyshev set in a normed space is a Chebyshev set.

Keywords: Chebyshev set, metric projection, normed space.

UDC: 517.982.256

MSC: 41A65

Received: 15.04.2023
Revised: 26.10.2023

DOI: 10.4213/mzm13817


 English version: Mathematical Notes, 2024, 115:4, 636–641

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© Steklov Math. Inst. of RAS, 2025