Parvinder Singh
Abstract
A Baire measure is a probability measure on the Baire σ-algebra over a normal Hausdorff space X. A Borel measure is a probability measure on the Borel σ-algebra over a normal Hausdorff space X. In this paper we prove that every Baire measure has a unique extension to a regular Borel measure.
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A Baire measure is a probability measure on the Baire σ-algebra over a normal Hausdorff space X. A Borel measure is a probability measure on the Borel σ-algebra over a normal Hausdorff space X. In this paper we prove that every Baire measure has a unique extension to a regular Borel measure.
Key concepts: Baire measure, Borel measure, Mathematics, σ-finite measure, Baire space, Baire category theorem, Measure (data warehouse), Riesz–Markov–Kakutani representation theorem