1977/06/01 by Joseph Diestel, J. J. Uhl · 6 citations
Mathematics · #Advanced Topology and Set Theory #Advanced Banach Space Theory #Mathematical and Theoretical Analysis #Computer science
paper · doi:10.1090/surv/015
openalex publication_date 1977/06/01 · openalex created_date 2022/05/12 · openalex updated_date 2026/08/04
For a non-negative finite countably additive measure µ defined on the σ-field Σ of subsets of Ω, it is well known that a certain quotient of Σ can be turned into a complete metric space Σ(Ω), known as the Nikodym-Saks space, which yields such important results in Measure Theory and Functional Analysis as Vitali-Hahn-Saks and Nikodym's theorems.Here we study some topological properties of Σ(Ω) regarded as a quasi-pseudometric space.