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

2011/12/01 by Miroslav Kačena, Kačena, Miroslav, Luca Motto Ros +3 · 2 citations
Mathematics · #03E15 #54H05 #FOS: Mathematics #General Topology (math.GN) #Logic (math.LO) #math.GN #math.LO #msc:03E15 #msc:54H05

paper · pdf · doi:10.48550/arxiv.1112.0350

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

arxiv created 2012/04/24 · arxiv updated 2012/04/25

Abstract

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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• A new proof of a theorem of Jayne and Rogers
• On the Jayne-Rogers theorem

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