Add to ORKGAbstract. Suppose that X is a Hausdor space such that its Vietoris hyper-space (F(X); V) has a continuous selection. Do disconnectedness-like prop-erties of X depend on the variety of continuous selections for (F(X); V) and vice versa? In general, the answer is \yes " and, in some particular situations, we were also able to set proper characterizations. 1
Abstract—For a Hausdorff space X, we denote by 2X the collection of all closed subsets of X. In this...
This paper deals with extremally disconnected spaces and extremally disconnected P-spaces. A space X...
summary:We demonstrate that every Vietoris continuous selection for the hyperspace of at most 3-poin...
AbstractWe study properties of Hausdorff spaces X which depend on the variety of continuous selectio...
We study properties of Hausdorff spaces X which depend on the variety of continuous selections for t...
AbstractIt is demonstrated that the hyperspace of at most (n+1)-point sets has a Vietoris continuous...
AbstractWe study properties of Hausdorff spaces X which depend on the variety of continuous selectio...
summary:Let $X$ be a Hausdorff space and let $\mathcal H$ be one of the hyperspaces $CL(X)$, $\mathc...
AbstractThe present paper deals with continuous selections f for the Vietoris hyperspace F(X) of all...
Abstract. Let X be a Hausdorff space and let H be one of the hyperspaces CL(X), K(X), F(X) or Fn(X) ...
Abstract. We prove that: (i) a pathwise connected, Hausdorff space which has a continuous selection ...
summary:It is proved that for a zero-dimensional space $X$, the function space $C_p(X,2)$ has a Viet...
Summary.- A sort of strong completeness property for subsets of a non-Archimedean space is defined. ...
summary:For a space $Z$, we denote by $\Cal{F}(Z)$, $\Cal{K}(Z)$ and $\Cal{F}_2(Z)$ the hyperspaces ...
This paper deals with extremally disconnected spaces and extremally disconnected P-spaces. A space X...
Abstract—For a Hausdorff space X, we denote by 2X the collection of all closed subsets of X. In this...
This paper deals with extremally disconnected spaces and extremally disconnected P-spaces. A space X...
summary:We demonstrate that every Vietoris continuous selection for the hyperspace of at most 3-poin...
AbstractWe study properties of Hausdorff spaces X which depend on the variety of continuous selectio...
We study properties of Hausdorff spaces X which depend on the variety of continuous selections for t...
AbstractIt is demonstrated that the hyperspace of at most (n+1)-point sets has a Vietoris continuous...
AbstractWe study properties of Hausdorff spaces X which depend on the variety of continuous selectio...
summary:Let $X$ be a Hausdorff space and let $\mathcal H$ be one of the hyperspaces $CL(X)$, $\mathc...
AbstractThe present paper deals with continuous selections f for the Vietoris hyperspace F(X) of all...
Abstract. Let X be a Hausdorff space and let H be one of the hyperspaces CL(X), K(X), F(X) or Fn(X) ...
Abstract. We prove that: (i) a pathwise connected, Hausdorff space which has a continuous selection ...
summary:It is proved that for a zero-dimensional space $X$, the function space $C_p(X,2)$ has a Viet...
Summary.- A sort of strong completeness property for subsets of a non-Archimedean space is defined. ...
summary:For a space $Z$, we denote by $\Cal{F}(Z)$, $\Cal{K}(Z)$ and $\Cal{F}_2(Z)$ the hyperspaces ...
This paper deals with extremally disconnected spaces and extremally disconnected P-spaces. A space X...
Abstract—For a Hausdorff space X, we denote by 2X the collection of all closed subsets of X. In this...
This paper deals with extremally disconnected spaces and extremally disconnected P-spaces. A space X...
summary:We demonstrate that every Vietoris continuous selection for the hyperspace of at most 3-poin...