Some observations on "A new proof of a theorem of Jayne and Rogers"

Details Some observations on "A new proof of a theorem of Jayne and Rogers" Some observations on "A new proof of a theorem of Jayne and Rogers"

2011-12-01

arxiv.org/abs/1112.0350v2

Mathematics

Logic

revised version, 12 pages, to appear on the Real Analysis Exchange

Scientific paper

We adapt a construction taken from `L. Motto Ros and B. Semmes, A new proof of a theorem of Jayne and Rogers, Real Anal. Exchange 35(1) (2009/2010), 195-204' in order to correct a mistake contained in the first part of the same paper. As a byproduct of the new construction, the Jayne-Rogers theorem is extended to functions whose range is a regular topological space, and a theorem of Solecki which sharpens the Jayne-Rogers theorem for separable metric spaces is extended to the non-separable context.

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