Add to ORKGIf X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We prove that for n ≥ 3 the space $L(ℝ^n)$ is homeomorphic to $B^∞$, where B denotes the pseudo-boundary of the Hilbert cube Q
AbstractSuppose X is a locally connected continuum without free arcs. It is known that the hyperspac...
AbstractFor a metric continuum X, we consider the hyperspaces C(X) and F2(X) of all subcontinua and ...
AbstractFor a Tychonoff space X, we use ↓USC(X) and ↓C(X) to denote the families of the regions belo...
AbstractSuppose X is a locally connected continuum without free arcs. It is known that the hyperspac...
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...
AbstractLet C(X) be the Banach space of continuous real-valued functions of an infinite compactum X ...
AbstractA subspace G of the hyperspace 2X of a Peano continuum is called a growth hyperspace if G co...
Abstract. Let BdH( m) be the hyperspace of nonempty bounded closed subsets of Euclidean space m endo...
Abstract. For X a nondegenerate Peano continuum, let C(X) be the hy-perspace of all subcontinua, wit...
AbstractFor a tower X1 ⊂ X2 ⊂ ⋯ of locally compact metric spaces, let X∞ = ∪∞1 Xn denote the direct ...
This paper was partially supported by the proyect “Hiperespacios de dendritas locales (118555) ” of ...
Let X be an infinite compact metrizable space having only a finite number of isolated points and Y b...
Abstract. Let X be a metric continuum and C(X) the hyperspace of subcontinua of X. A size map is a c...
use ↓USC(S) and ↓C(S) to denote the families of the regions below of all upper semi-continuous maps ...
AbstractSuppose X is a locally connected continuum without free arcs. It is known that the hyperspac...
AbstractFor a metric continuum X, we consider the hyperspaces C(X) and F2(X) of all subcontinua and ...
AbstractFor a Tychonoff space X, we use ↓USC(X) and ↓C(X) to denote the families of the regions belo...
AbstractSuppose X is a locally connected continuum without free arcs. It is known that the hyperspac...
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...
AbstractLet C(X) be the Banach space of continuous real-valued functions of an infinite compactum X ...
AbstractA subspace G of the hyperspace 2X of a Peano continuum is called a growth hyperspace if G co...
Abstract. Let BdH( m) be the hyperspace of nonempty bounded closed subsets of Euclidean space m endo...
Abstract. For X a nondegenerate Peano continuum, let C(X) be the hy-perspace of all subcontinua, wit...
AbstractFor a tower X1 ⊂ X2 ⊂ ⋯ of locally compact metric spaces, let X∞ = ∪∞1 Xn denote the direct ...
This paper was partially supported by the proyect “Hiperespacios de dendritas locales (118555) ” of ...
Let X be an infinite compact metrizable space having only a finite number of isolated points and Y b...
Abstract. Let X be a metric continuum and C(X) the hyperspace of subcontinua of X. A size map is a c...
use ↓USC(S) and ↓C(S) to denote the families of the regions below of all upper semi-continuous maps ...
AbstractSuppose X is a locally connected continuum without free arcs. It is known that the hyperspac...
AbstractFor a metric continuum X, we consider the hyperspaces C(X) and F2(X) of all subcontinua and ...
AbstractFor a Tychonoff space X, we use ↓USC(X) and ↓C(X) to denote the families of the regions belo...