English

Possibly every real function is continuous on a non--meagre set

Logic 2009-09-25 v1 Functional Analysis

Abstract

We prove consistency of the following sentence: ``ZFC + every real function is continuous on a non-meagre set'', answering a question of Fremlin.

Keywords

Cite

@article{arxiv.math/9511220,
  title  = {Possibly every real function is continuous on a non--meagre set},
  author = {Saharon Shelah},
  journal= {arXiv preprint arXiv:math/9511220},
  year   = {2009}
}