article
Baire Measures and its Unique Extension to a Regular Boral Measure
International journal of applied research · 2015 · Vol. 1(7) · pp. 410–412
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.
Advanced Banach Space TheoryAdvanced Topology and Set TheoryAdvanced Topics in AlgebraBaire measureBorel measureMathematicsσ-finite measureBaire spaceBaire category theoremMeasure (data warehouse)Riesz–Markov–Kakutani representation theoremHausdorff measureOuter measure
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