AbstractIt is shown that a continuous map defined on a closed zero-dimensional subspace S of a compact space T into a Peano space X can be continuously extended over T or, equivalently, X is an AE(0, ∞),and this property precisely characterizes Peano spaces within the class of compact metric spaces. Surjectively, a compact AE(0, ∞) of arbitrary weight is proved to be the continuous image of a Tychonoff cube by a map satisfying the zero-dimensional lifting property
AbstractFor a tower X1 ⊂ X2 ⊂ ⋯ of locally compact metric spaces, let X∞ = ∪∞1 Xn denote the direct ...
AbstractFor a Tychonoff space X, we use ↓USC(X) and ↓C(X) to denote the families of the regions belo...
If X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We pro...
AbstractIt is shown that a continuous map defined on a closed zero-dimensional subspace S of a compa...
AbstractWe present a new version of Šapirovskiı̆'s well-known criterion for the existence of a conti...
Abstract. The starting point of this paper is the existence of Peano curves, that is, continuous sur...
The starting point of this paper is the existence of Peano curves, that is, continuous surjections m...
AbstractAn extension of the Tychonoff theorem is obtained in characterizing a compact space by the n...
AbstractIt is shown that the compact topological spaces are precisely the injective spaces with resp...
Abstract. We characterize metric spaces X whose hyperspaces 2X or Bd(X) of non-empty closed (bounded...
Abstract. Given a metric Peano continuum X we introduce and study the Hölder Dimension Hö-Dim(X) ...
Eilenberg proved that if a compact space X admits a zero-dimensional map f:X! Y, where Y is m-dimens...
AbstractEilenberg proved that if a compact space X admits a zero-dimensional map f:X→Y, where Y is m...
AbstractWe give a necessary and sufficient condition that a 2nd countable space be the almost contin...
AbstractGiven a metric Peano continuum X we introduce and study the Hölder Dimension Hö-dim(X)=inf{d...
AbstractFor a tower X1 ⊂ X2 ⊂ ⋯ of locally compact metric spaces, let X∞ = ∪∞1 Xn denote the direct ...
AbstractFor a Tychonoff space X, we use ↓USC(X) and ↓C(X) to denote the families of the regions belo...
If X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We pro...
AbstractIt is shown that a continuous map defined on a closed zero-dimensional subspace S of a compa...
AbstractWe present a new version of Šapirovskiı̆'s well-known criterion for the existence of a conti...
Abstract. The starting point of this paper is the existence of Peano curves, that is, continuous sur...
The starting point of this paper is the existence of Peano curves, that is, continuous surjections m...
AbstractAn extension of the Tychonoff theorem is obtained in characterizing a compact space by the n...
AbstractIt is shown that the compact topological spaces are precisely the injective spaces with resp...
Abstract. We characterize metric spaces X whose hyperspaces 2X or Bd(X) of non-empty closed (bounded...
Abstract. Given a metric Peano continuum X we introduce and study the Hölder Dimension Hö-Dim(X) ...
Eilenberg proved that if a compact space X admits a zero-dimensional map f:X! Y, where Y is m-dimens...
AbstractEilenberg proved that if a compact space X admits a zero-dimensional map f:X→Y, where Y is m...
AbstractWe give a necessary and sufficient condition that a 2nd countable space be the almost contin...
AbstractGiven a metric Peano continuum X we introduce and study the Hölder Dimension Hö-dim(X)=inf{d...
AbstractFor a tower X1 ⊂ X2 ⊂ ⋯ of locally compact metric spaces, let X∞ = ∪∞1 Xn denote the direct ...
AbstractFor a Tychonoff space X, we use ↓USC(X) and ↓C(X) to denote the families of the regions belo...
If X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We pro...
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