On functions having the property of Baire (Q1332603)

\textit{M. Wilhelm} [Commentat. Math. Univ. Carol. 23, 147-158 (1982; Zbl 0508.54015)] proves that a function \(f:(X, {\mathcal T}_ 1) \to (Y, {\mathcal T}_ 2)\) from a Baire space into a regular, not necessarily \(T_ 0\), space is continuous if and only if it is almost continuous and has the property of Baire. In the paper under review the above result is generalized by replacing the \(\sigma\)-ideal of meager sets with an arbitrary ideal \({\mathcal T}\) of codense sets. In particular, it is shown that every function \(f:X \to Y\) which is almost continuous (with respect to \({\mathcal T})\) and which has the property of Baire (with respect to \({\mathcal T})\) is \(\theta\)-continuous.