2011Fundamenta MathematicaeOpen access

Borel extensions of Baire measures in ZFC

Menachem Kojman, Henryk Michalewski

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Abstract

We prove: 1) Every Baire measure on the Kojman–Shelah Dowker space admits a Borel extension. 2) If the continuum is not real-valued-measurable then every Baire measure on M. E. Rudin's Dowker space admits a Borel extension. Con

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We prove: 1) Every Baire measure on the Kojman–Shelah Dowker space admits a Borel extension. 2) If the continuum is not real-valued-measurable then every Baire measure on M. E. Rudin's Dowker space admits a Borel extension. Con

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Available abstract

We prove: 1) Every Baire measure on the Kojman–Shelah Dowker space admits a Borel extension. 2) If the continuum is not real-valued-measurable then every Baire measure on M. E. Rudin's Dowker space admits a Borel extension. Con

Key concepts: Mathematics, Baire measure, Baire category theorem, Baire space, Borel measure, Polish space, Measure (data warehouse), Borel equivalence relation

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