1993Fundamenta MathematicaeOpen access

When are Borel functions Baire functions?

Mogens Fosgerau

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Abstract

The following two theorems give the flavour of what will be proved. Theorem. Let Y be a complete metric space. Then the families of first Baire class functions and of first Borel class functions from [0,1] to Y coincide if and only if Y is connected and l

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What this paper is about

The following two theorems give the flavour of what will be proved. Theorem. Let Y be a complete metric space. Then the families of first Baire class functions and of first Borel class functions from [0,1] to Y coincide if and only if Y is connected and l

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Available abstract

The following two theorems give the flavour of what will be proved. Theorem. Let Y be a complete metric space. Then the families of first Baire class functions and of first Borel class functions from [0,1] to Y coincide if and only if Y is connected and l

Key concepts: Baire measure, Mathematics, Baire category theorem, Baire space, Borel set, Complete metric space, Class (philosophy), Borel equivalence relation

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