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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
On the completeness properties of the $C$-compact-open topology on $C(X)$
Alexander V. Osipovab a N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
b Ural Federal University, Ekaterinburg, Russia
Аннотация:
This is a study of the completeness properties of the space $C_{rc}(X)$ of continuous real-valued functions on a Tychonoff space $X$, where the function space has the $C$-compact-open topology. Investigate the properties such as completely metrizable, Čech-complete, pseudocomplete and almost Čech-complete.
Ключевые слова:
$C$-compact-open topology, Set-open topology, Čech-complete, Baire space, Function space.
Образец цитирования:
Alexander V. Osipov, “On the completeness properties of the $C$-compact-open topology on $C(X)$”, Ural Math. J., 1:1 (2015), 61–67
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/umj6 https://www.mathnet.ru/rus/umj/v1/i1/p61
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Страница аннотации: | 228 | PDF полного текста: | 101 | Список литературы: | 40 |
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