T. B. M. McMaster, "On Pervin's example concerning the connected-open topology", International Journal of Mathematics and Mathematical Sciences, vol. 13, Article ID 178014, 4 pages, 1990. https://doi.org/10.1155/S0161171290000333
On Pervin's example concerning the connected-open topology
Irudayanathan and Naimpally  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. Pervin  gave an example showing that the proviso cannot be weakened to normality. The purpose of this note is to point out a lacuna in his demonstration, and to re-establish the validity of the example.
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