Remark on the characterization of continuous functions (Q2714297)

\textit{W. Ring, P. Schöpf} and \textit{J. Schwaiger} [Publ. Math. 51, No. 3-4, 205-224 (1997; Zbl 0905.26003)] proved that \(f:\mathbb{R}^n \to\mathbb{R}\) is continuous provided \(f\circ\gamma\) is continuous for any regular \(C^1\) curve. In the paper under review the author proves that this theorem is false for real functions defined on any infinite dimensional normed space. The proof is completely standard, straightforward and routine.