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We construct a separately continuous function 
$e:E\times K\rightarrow \{0,1\}$ on the product of a Baire space 
$E$ and a compact space 
$K$ such that no restriction of 
$e$ to any non-meagre Borel set in 
$E\times K$ is continuous. The function 
$e$ has no points of joint continuity, and, hence, it provides a negative solution of Talagrand’s problem in Talagrand [Espaces de Baire et espaces de Namioka, Math. Ann.270 (1985), 159–164].
