A note on Kuratowski partitions in metric spaces

2023/03/28 by Joanna Jureczko, Jureczko, Joanna
Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Functional Equations Stability Results #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.2303.16649

openalex publication_date 2023/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the existence of a complete metric space of cardinality at most 2^κ admitting Kuratowski partition is a consequence of κ being the smallest real-valued measurable cardinal not greater than 2^ℵ₀.

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