We show that the space of all Lelek fans in a Cantor fan, equipped with the Hausdorff metric, is homeomorphic to the separable Hilbert space. This result is a special case of a general theorem we prove about spaces of upper semicontinuous functions on compact metric spaces that are strongly discontinuous. © 2010 The Mathematical Society of Japan
It is a famous result of Alexandroff and Urysohn [1] that every compact metric space is a continuous...
If (X, d) is a metric continuum, C(X) stands for the hyperspace of all nonempty subcontinua of X, en...
All spaces under discussion are separable metric. The Anderson-Kadec Theorem (see [BP] for backgroun...
Abstract. We show that the space of all Lelek fans in a Cantor fan, equipped with the Hausdorff metr...
AbstractIn this paper we show that the space of selections of a smooth fan is a complete separable a...
Abstract. Let X be a non-compact locally compact separable metric space. We use ↓USCC(X) to denote t...
AbstractFor a Tychonoff space X, we use ↓USC(X) and ↓C(X) to denote the families of the regions belo...
Abstract. Let BdH( m) be the hyperspace of nonempty bounded closed subsets of Euclidean space m endo...
Let X be a smooth fan and denote its set of endpoints by E(X). Let E be one of the following spaces:...
Abstract. It is proven that a smooth fan with a dense set of end-points is unique. Some other charac...
A Cantor Space is any topological space that is homeomorphic to the Cantor Set. Cantor Spaces are pr...
A Cantor Space is any topological space that is homeomorphic to the Cantor Set. Cantor Spaces are pr...
A Cantor Space is any topological space that is homeomorphic to the Cantor Set. Cantor Spaces are pr...
Abstract. It is proven that a smooth fan with a dense set of end-points is unique. Some other charac...
AbstractWe describe how to assign an h-homogeneous space b(X,k) with a dense complete subspace and o...
It is a famous result of Alexandroff and Urysohn [1] that every compact metric space is a continuous...
If (X, d) is a metric continuum, C(X) stands for the hyperspace of all nonempty subcontinua of X, en...
All spaces under discussion are separable metric. The Anderson-Kadec Theorem (see [BP] for backgroun...
Abstract. We show that the space of all Lelek fans in a Cantor fan, equipped with the Hausdorff metr...
AbstractIn this paper we show that the space of selections of a smooth fan is a complete separable a...
Abstract. Let X be a non-compact locally compact separable metric space. We use ↓USCC(X) to denote t...
AbstractFor a Tychonoff space X, we use ↓USC(X) and ↓C(X) to denote the families of the regions belo...
Abstract. Let BdH( m) be the hyperspace of nonempty bounded closed subsets of Euclidean space m endo...
Let X be a smooth fan and denote its set of endpoints by E(X). Let E be one of the following spaces:...
Abstract. It is proven that a smooth fan with a dense set of end-points is unique. Some other charac...
A Cantor Space is any topological space that is homeomorphic to the Cantor Set. Cantor Spaces are pr...
A Cantor Space is any topological space that is homeomorphic to the Cantor Set. Cantor Spaces are pr...
A Cantor Space is any topological space that is homeomorphic to the Cantor Set. Cantor Spaces are pr...
Abstract. It is proven that a smooth fan with a dense set of end-points is unique. Some other charac...
AbstractWe describe how to assign an h-homogeneous space b(X,k) with a dense complete subspace and o...
It is a famous result of Alexandroff and Urysohn [1] that every compact metric space is a continuous...
If (X, d) is a metric continuum, C(X) stands for the hyperspace of all nonempty subcontinua of X, en...
All spaces under discussion are separable metric. The Anderson-Kadec Theorem (see [BP] for backgroun...
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