Descriptive complexity of the sizes of subsets of groups
We study the Borel complexity of some basic families of subsets of a countable group (large, small, thin, rarefied, etc.) determined by the sizes of their elements. The obtained results are applied to the Czech – Stone compactification $\beta G$ of the group $G$. In particular, it is shown that the...
Збережено в:
| Дата: | 2017 |
|---|---|
| Автори: | , , , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2017
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/1780 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | We study the Borel complexity of some basic families of subsets of a countable group (large, small, thin, rarefied, etc.)
determined by the sizes of their elements. The obtained results are applied to the Czech – Stone compactification $\beta G$ of the
group $G$. In particular, it is shown that the closure of the minimal ideal $\beta G$ has the $F_{\sigma \delta}$ type. |
|---|