On Pervin's example concerning the connected-open topology (Q919647)

Summary: \textit{A. Irudayanathan} and \textit{S. Naimpally} [Indagationes Math. 28, 22- 24 (1966; Zbl 0136.193)] introduced a topology for function spaces (called the connected-open topology) which has the property that the connected functions form a closed set provided that the codomain is completely normal. \textit{W. J. Pervin} [ibid. 29, 126-127 (1967; Zbl 0147.228)] gave an example showing that the proviso cannot be weakened to normality. The author points out a lacuna in his demonstration, and re- establishes the validity of the example.