On Pervin's example concerning the connected-open topology
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...
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| Формат: | Статья |
| Язык: | English |
| Опубликовано: |
Wiley
1990-01-01
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| Серии: | International Journal of Mathematics and Mathematical Sciences |
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| Online-ссылка: | http://dx.doi.org/10.1155/S0161171290000333 |