English

A dichotomy for Borel functions

General Topology 2008-10-09 v1 Logic

Abstract

The dichotomy discovered by Solecki in \cite{Sol} states that any Baire class 1 function is either σ\sigma-continuous or "includes" the Pawlikowski function PP. 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.

Cite

@article{arxiv.0810.1391,
  title  = {A dichotomy for Borel functions},
  author = {Marcin Sabok},
  journal= {arXiv preprint arXiv:0810.1391},
  year   = {2008}
}
R2 v1 2026-06-21T11:28:31.757Z