Disjoint continuous images with values in the inductive boundaries
Generalizations of the classical results of Dini and Osgood on sequences of continuous functions are obtained. Based on these generalizations, we establish a Bairetype theorem concerning the size of their point set of joint continuity of separably continuous mappings of products of Baire spaces and...
Збережено в:
| Дата: | 1992 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1992
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8106 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | Generalizations of the classical results of Dini and Osgood on sequences of continuous functions are obtained. Based on these generalizations, we establish a Bairetype theorem concerning the size of their point set of joint continuity of separably continuous mappings of products of Baire spaces and spaces with first countability axiom in certain inductive limits of increasing sequences of locally convex metrizable spaces containing, in particular, such well-known nonmetrizable spaces as the space of finitary sequences and space of Schwartz sampling functions. |
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