AbstractTwo natural functions from the hyperspace 2X into the hyperspace C(C(X)) for an arbitrary metric continuum X are studied in this paper. Some characterizations of smoothness, local connectedness, connectedness im kleinen and of the property of Kelley of a continuum X are obtained in terms of continuity of these functions or their restrictions
It is proved that if a continuum X contains an Ri-continuum for some iϵ{1,2,3}, then the hyperspaces...
Abstract. Interrelations between smoothness of a continuum at a point, pointwise smoothness, the pro...
AbstractFor a metric continuum X, let C(X) denote the hyperspace of subcontinua of X. The continuum ...
AbstractTwo natural functions from the hyperspace 2X into the hyperspace C(C(X)) for an arbitrary me...
AbstractLet X be a continuum. The n-fold hyperspace Cn(X), n<∞, is the space of all nonempty compact...
AbstractLet X be a metric continuum and 2x (C(X)) denote the hyperspace of closed subsets (subcontin...
Abstract. A continuum X having the property of Kelley is constructed such that neither X × [0, 1], n...
Abstract. A continuum X having the property of Kelley is constructed such that neither X[0; 1], nor ...
AbstractFor a metric continuum X, we consider the hyperspaces C(X) and F2(X) of all subcontinua and ...
Let X be a nonvoid metric continuum. Denote by 2X and C(X) the hyperspaces of nonempty closed subset...
Let X be a nonvoid metric continuum. Denote by 2X and C(X) the hyperspaces of nonempty closed subset...
Throughout this paper a continuum means a compact connected metric space. Let X be a continuum. By C...
We show that for any continua X and Y the smoothness of either the hyperspace C(X) or 2x or of the C...
Interrelations between smoothness of a continuum at a point, pointwise smoothness, the property of K...
Let X be a non-metric continuum, and C(X) be the hyperspace of subcontinua of X. It is known that th...
It is proved that if a continuum X contains an Ri-continuum for some iϵ{1,2,3}, then the hyperspaces...
Abstract. Interrelations between smoothness of a continuum at a point, pointwise smoothness, the pro...
AbstractFor a metric continuum X, let C(X) denote the hyperspace of subcontinua of X. The continuum ...
AbstractTwo natural functions from the hyperspace 2X into the hyperspace C(C(X)) for an arbitrary me...
AbstractLet X be a continuum. The n-fold hyperspace Cn(X), n<∞, is the space of all nonempty compact...
AbstractLet X be a metric continuum and 2x (C(X)) denote the hyperspace of closed subsets (subcontin...
Abstract. A continuum X having the property of Kelley is constructed such that neither X × [0, 1], n...
Abstract. A continuum X having the property of Kelley is constructed such that neither X[0; 1], nor ...
AbstractFor a metric continuum X, we consider the hyperspaces C(X) and F2(X) of all subcontinua and ...
Let X be a nonvoid metric continuum. Denote by 2X and C(X) the hyperspaces of nonempty closed subset...
Let X be a nonvoid metric continuum. Denote by 2X and C(X) the hyperspaces of nonempty closed subset...
Throughout this paper a continuum means a compact connected metric space. Let X be a continuum. By C...
We show that for any continua X and Y the smoothness of either the hyperspace C(X) or 2x or of the C...
Interrelations between smoothness of a continuum at a point, pointwise smoothness, the property of K...
Let X be a non-metric continuum, and C(X) be the hyperspace of subcontinua of X. It is known that th...
It is proved that if a continuum X contains an Ri-continuum for some iϵ{1,2,3}, then the hyperspaces...
Abstract. Interrelations between smoothness of a continuum at a point, pointwise smoothness, the pro...
AbstractFor a metric continuum X, let C(X) denote the hyperspace of subcontinua of X. The continuum ...
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