On Analogues of Some Classical Subsets of the Real Line

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On Analogues of Some Classical Subsets of the Real Line

A theorem on the existence of separable supports of σ-finite Borel measures given on metric spaces with small topological weights is applied to constructions of certain analogues of special subsets of the real line. A well-known result from topological measure theory states that every σ-finite Borel measure on a metric space whose weight is not real-valued measurable possesses a separable suppo...

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ژورنال

عنوان ژورنال: Journal of Applied Analysis

سال: 2000

ISSN: 1425-6908,1869-6082

DOI: 10.1515/jaa.2000.77