Sigma-continuity with closed witnesses
Volume 239 / 2017
Fundamenta Mathematicae 239 (2017), 29-42
MSC: Primary 03E15, 26A21, 28A05, 54H05.
DOI: 10.4064/fm317-12-2016
Published online: 12 April 2017
Abstract
We use variants of the $\mathbb {G}_0$ dichotomy to establish a refinement of Solecki’s basis theorem for the family of Baire-class one functions which are not $\sigma $-continuous with closed witnesses.
