Separability of a Metric Space Is Equivalent to the Existence of a Borel Measure

DOI10.1080/00029890.2021.1835339zbMath1455.30052OpenAlexW3122981821MaRDI QIDQ5144504

Przemysław Górka

Publication date: 18 January 2021

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2021.1835339

zbMATH Keywords

metric spaceBorel measureseparabibility

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Miscellaneous topics in measure theory (28E99) Analysis on metric spaces (30L99)

Related Items (2)

Embeddings of the fractional Sobolev spaces on metric-measure spaces ⋮ The axiom of choice in metric measure spaces and maximal \(\delta\)-separated sets

Cites Work

• Nonlinear potential theory on metric spaces
• Harmonic functions on metric measure spaces: Convergence and compactness

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