On a problem of Talagrand concerning separately continuous functions
General Topology
2023-06-22 v2
Abstract
We construct a separately continuous function on the product of a Baire space and a zero-dimensional compact space such that no restriction of to any non-meager Borel set in is continuous. The function provides a negative solution of Talagrand's problem in \cite{T}.
Cite
@article{arxiv.1809.05799,
title = {On a problem of Talagrand concerning separately continuous functions},
author = {Volodymyr Mykhaylyuk and Roman Pol},
journal= {arXiv preprint arXiv:1809.05799},
year = {2023}
}