  We construct a separately continuous function $e:E\times K\to\{0,1\}$ on the
product of a Baire space $E$ and a zero-dimensional compact space $K$ such that
no restriction of $e$ to any non-meager Borel set in $E\times K$ is continuous.
The function $e$ provides a negative solution of Talagrand's problem in
\cite{T}.
