On the Jayne-Rogers theorem

2017/06/08 by Medvedev, Sergey
#54H05 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1706.03624

Abstract

In 1982, J.E. Jayne and C.A. Rogers proved that a mapping f \colon X → Y of an absolute Souslin-F set X to a metric space Y is Δ⁰₂-measurable if and only if it is piecewise continuous. We now give a similar result for a perfectly paracompact first-countable space X and a regular space Y.

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