Center of distances and Bernstein sets

2025/02/10 by Mateusz Kula, Kula, Mateusz · 2 citations
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #Constraint Satisfaction and Optimization #FOS: Mathematics #General Topology (math.GN) #Primary 54E35 #Rough Sets and Fuzzy Logic #Secondary 03E75

paper · pdf · doi:10.48550/arxiv.2502.06404

openalex publication_date 2025/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that for any subset A⊂ [0,∞), where 0∈ A, there exists a Bernstein set X⊂ \mathbb R such that A is the center of distances of X.

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