Функциональный анализ и его приложения 18 мая 2023 г. 08:30–09:30, г. Ташкент, Национальный университет Узбекистана, Математический факультет, аудитория А-304, ул. Университетская, 4
On the hyperspace, elements of which have finitely many components
Аннотация:
In this talk we consider categorical and topological properties of the functor $C_n (X)$. We state that the functor $C_n\colon Comp \to Comp$ preserves the density and weak density of topological spaces. As well as, we investigate several categorical properties of this functor. We proved that the functor $C_n$ satisfies all properties of normality except preserving surjections.