On Pervin's example concerning the connected-open topology

T. B. M. McMaster

International Journal of Mathematics and Mathematical Sciences, 1990, vol. 13, 1-4

Abstract:

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.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:178014

DOI: 10.1155/S0161171290000333

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