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Concerning continuity apart from a meager set

Authors: Janusz Kaniewski and Zbigniew Piotrowski
Journal: Proc. Amer. Math. Soc. 98 (1986), 324-328
MSC: Primary 54C30; Secondary 26A15
MathSciNet review: 854041
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Abstract: Given a $ \sigma $-ideal $ \mathcal{J}$ of subsets of a space $ X$, mappings $ f:X \to Y$ are investigated, such that $ f\vert{X_0}$ is continuous for some closed $ {X_0} \subset X$ with $ X\backslash {X_0} \in \mathcal{J}$.

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