|
ИСТИНА |
Войти в систему Регистрация |
ИПМех РАН |
||
Regular rigid Korovin orbitsстатья
- Авторы: Reznichenko Evgenii, Tkachenko Mikhail
- Журнал: ArXiv e-prints
- Год издания: 2025
- Первая страница: 1
- Последняя страница: 12
- DOI: 10.48550/ARXIV.2502.00570
- Аннотация: An example of an infinite regular feebly compact quasitopological group is presented such that all continuous real-valued functions on the group are constant. The example is based on the use of Korovin orbits in XG, where X is a special regular countably compact space constructed by this http URL and this http URL and G is an abstract Abelian group of an appropriate cardinality. Also, we study the interplay between the separation properties of the space X and Korovin orbits in XG. We show in particular that if X contains two nonempty disjoint open subsets, then every Korovin orbit in XG is Hausdorff.
- Добавил в систему: Резниченко Евгений Александрович