A dichotomy for Borel functions

Details A dichotomy for Borel functions A dichotomy for Borel functions

2008-10-08

arxiv.org/abs/0810.1391v1

Mathematics

General Topology

Scientific paper

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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