English

Sigma-continuity with closed witnesses

Logic 2020-02-25 v1 General Topology

Abstract

We use variants of the G0\mathbb{G}_0 dichotomy to establish a refinement of Solecki's basis theorem for the family of Baire-class one functions which are not σ\sigma-continuous with closed witnesses.

Cite

@article{arxiv.2002.09984,
  title  = {Sigma-continuity with closed witnesses},
  author = {Raphaël Carroy and Benjamin D. Miller},
  journal= {arXiv preprint arXiv:2002.09984},
  year   = {2020}
}
R2 v1 2026-06-23T13:50:59.254Z