|
ИСТИНА |
Войти в систему Регистрация |
Интеллектуальная Система Тематического Исследования НАукометрических данных |
||
Topological Groups with Strong Disconnectedness Propertiesстатья Исследовательская статья
- Автор: Sipacheva Ol'ga
- Журнал: ArXiv e-prints
- Год издания: 2022
- Номер статьи: 2208.08262 [math.GN]
- DOI: 10.48550/arXiv.2208.08262
- Аннотация: Topological groups whose underlying spaces are basically disconnected, F-, or F′-spaces but not P-spaces are considered. It is proved, in particular, that the existence of a Lindelöf basically disconnected topological group which is not a P-space is equivalent to the existence of a Boolean basically disconnected Lindelöf group of countable pseudocharacter, that free and free Abelian topological groups of zero-dimensional non-P-spaces are never F′-spaces, and that the existence of a free Boolean F′-group which is not a P-space is equivalent to that of selective ultrafilters on ω.
- Добавил в систему: Сипачева Ольга Викторовна