Center of distances and Bernstein sets

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1. Verfasser: Kula, Mateusz
Format: Preprint
Veröffentlicht: 2025
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author Kula, Mateusz
author_facet Kula, Mateusz
contents We show that for any subset $A\subset [0,\infty)$, where $0\in A$, there exists a Bernstein set $X\subset \mathbb R$ such that $A$ is the center of distances of $X$.
format Preprint
id arxiv_https___arxiv_org_abs_2502_06404
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Center of distances and Bernstein sets
Kula, Mateusz
Classical Analysis and ODEs
General Topology
Primary 54E35, Secondary 03E75
We show that for any subset $A\subset [0,\infty)$, where $0\in A$, there exists a Bernstein set $X\subset \mathbb R$ such that $A$ is the center of distances of $X$.
title Center of distances and Bernstein sets
topic Classical Analysis and ODEs
General Topology
Primary 54E35, Secondary 03E75
url https://arxiv.org/abs/2502.06404