Quasi-pseudometric properties of the Nikodym-Saks space | Zendy

Jesús Ferrer | Zendy

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Quasi-pseudometric properties of the Nikodym-Saks space

Author(s) -

Jesús Ferrer

Publication year - 2003

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.638

H-Index - 13

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2003.2029

Subject(s) - mathematics , measure (data warehouse) , space (punctuation) , metric space , quotient , metric (unit) , discrete mathematics , pure mathematics , field (mathematics) , computer science , data mining , operations management , economics , operating system

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

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