Discontinuity points of separately continuous mappings with at most countable set of values
UDC 517.51 We obtain a general result on the constancy of separately continuous mappings and their analogs, which implies the wellknown Sierpi´nski theorem. By using this result, we study the set of continuity points of separately continuous mappings with at most countably many values including, in...
Збережено в:
| Дата: | 2019 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2019
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/1477 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.51
We obtain a general result on the constancy of separately continuous mappings and their analogs, which implies the wellknown
Sierpi´nski theorem. By using this result, we study the set of continuity points of separately continuous mappings
with at most countably many values including, in particular, the mappings defined on the square of the Sorgenfrey line
with values in the Bing plane. |
|---|