期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:1990
卷号:13
DOI:10.1155/S0161171290000333
出版社:Hindawi Publishing Corporation
摘要:Irudayanathan and Naimpally [1] 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 [2] 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.