AbstractSuppose X is a locally connected continuum without free arcs. It is known that the hyperspace C(X) is homeomorphic to the Hilbert cube Q. Let Lc(X) and ANRc(X) denote the subspaces of C(X) consisting of locally connected continua and ANR continua in X. In this article we show that if X has DD1P then the pair (C(X),Lc(X)) is homeomorphic to (Q,Q0) and if, in addition, every nonempty open subset of X contains a 3-disk then the pair (C(X),ANRc(X)) is homeomorphic to (Q,Ω3)
AbstractFor a continuum X we denote by C(X) the hyperspace of subcontinua of X, metrized by the Haus...
AbstractLet Z be a metric continuum and n be a positive integer. Let Cn(Z) be the hyperspace of the ...
Abstract. By CldF (X), we denote the hyperspace of non-empty closed sets of a locally compact metriz...
AbstractSuppose X is a locally connected continuum without free arcs. It is known that the hyperspac...
If X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We pro...
AbstractBy Cld∗F(X), we denote the space of all closed sets in a space X (including the empty set ∅)...
Abstract. By Cld∗F (X), we denote the space of all closed sets in a space X (including the empty set...
Abstract. For X a nondegenerate Peano continuum, let C(X) be the hy-perspace of all subcontinua, wit...
AbstractFor a metric continuum X, we consider the hyperspaces C(X) and F2(X) of all subcontinua and ...
use ↓USC(S) and ↓C(S) to denote the families of the regions below of all upper semi-continuous maps ...
Let X be an infinite compact metrizable space having only a finite number of isolated points and Y b...
Abstract. Let BdH( m) be the hyperspace of nonempty bounded closed subsets of Euclidean space m endo...
AbstractWe provide a structural characterization of all continua X whose hyperspace C(X) of all subc...
AbstractLet C(X) be the Banach space of continuous real-valued functions of an infinite compactum X ...
AbstractFor a metric continuum X, let C(X) denote the hyperspace of subcontinua of X. The continuum ...
AbstractFor a continuum X we denote by C(X) the hyperspace of subcontinua of X, metrized by the Haus...
AbstractLet Z be a metric continuum and n be a positive integer. Let Cn(Z) be the hyperspace of the ...
Abstract. By CldF (X), we denote the hyperspace of non-empty closed sets of a locally compact metriz...
AbstractSuppose X is a locally connected continuum without free arcs. It is known that the hyperspac...
If X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We pro...
AbstractBy Cld∗F(X), we denote the space of all closed sets in a space X (including the empty set ∅)...
Abstract. By Cld∗F (X), we denote the space of all closed sets in a space X (including the empty set...
Abstract. For X a nondegenerate Peano continuum, let C(X) be the hy-perspace of all subcontinua, wit...
AbstractFor a metric continuum X, we consider the hyperspaces C(X) and F2(X) of all subcontinua and ...
use ↓USC(S) and ↓C(S) to denote the families of the regions below of all upper semi-continuous maps ...
Let X be an infinite compact metrizable space having only a finite number of isolated points and Y b...
Abstract. Let BdH( m) be the hyperspace of nonempty bounded closed subsets of Euclidean space m endo...
AbstractWe provide a structural characterization of all continua X whose hyperspace C(X) of all subc...
AbstractLet C(X) be the Banach space of continuous real-valued functions of an infinite compactum X ...
AbstractFor a metric continuum X, let C(X) denote the hyperspace of subcontinua of X. The continuum ...
AbstractFor a continuum X we denote by C(X) the hyperspace of subcontinua of X, metrized by the Haus...
AbstractLet Z be a metric continuum and n be a positive integer. Let Cn(Z) be the hyperspace of the ...
Abstract. By CldF (X), we denote the hyperspace of non-empty closed sets of a locally compact metriz...
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