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arxiv: 0810.1391 · v1 · submitted 2008-10-08 · 🧮 math.GN · math.LO

A dichotomy for Borel functions

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keywords dichotomyborelfunctionfunctionssoleckiargumentbairecite
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The dichotomy discovered by Solecki in \cite{Sol} states that any Baire class 1 function is either $\sigma$-continuous or "includes" the Pawlikowski function $P$. The aim of this paper is to give an argument which is simpler than the original proof of Solecki and gives a stronger statement: a dichotomy for all Borel functions.

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