AbstractWe provide a structural characterization of all continua X whose hyperspace C(X) of all subcontinua is the countable union of Peano continua. Applying this result we prove that there exists a uniformly path connected continuum X with no continuous mapping from C(X) onto X
A continuum is a compact connected Hausdorff space. A continuum is decomposable if it can be represe...
It is proved that if a continuum X contains an Ri-continuum for some iϵ{1,2,3}, then the hyperspaces...
Throughout this paper X is a metric continuum and C(X) is the space of all subcontinua of X with the...
AbstractLet X be a continuum. The n-fold hyperspace Cn(X), n<∞, is the space of all nonempty compact...
AbstractFor a metric continuum X, we consider the hyperspaces C(X) and F2(X) of all subcontinua and ...
Let X be a non-metric continuum, and C(X) be the hyperspace of subcontinua of X. It is known that th...
Throughout this paper a continuum means a compact connected metric space. Let X be a continuum. By C...
AbstractSuppose X is a locally connected continuum without free arcs. It is known that the hyperspac...
We construct a metric continuum X such that the hyperspace of sub-continua, C(X), of X is not a cont...
We introduce the notion of thin continua: a continuum is thin if every nondegenerate subcontinuum ha...
Certain theorems that apply to compact, metric continua that are separated by none of their subconti...
ABSTRACT. It is proved among other things that every mapping from a subcontinuum of an hereditarily ...
AbstractFor a metric continuum X, let C(X) denote the hyperspace of subcontinua of X. The continuum ...
A continuum is a compact connected Hausdorff space. A continuum is decomposable if it can be represe...
AbstractTwo natural functions from the hyperspace 2X into the hyperspace C(C(X)) for an arbitrary me...
A continuum is a compact connected Hausdorff space. A continuum is decomposable if it can be represe...
It is proved that if a continuum X contains an Ri-continuum for some iϵ{1,2,3}, then the hyperspaces...
Throughout this paper X is a metric continuum and C(X) is the space of all subcontinua of X with the...
AbstractLet X be a continuum. The n-fold hyperspace Cn(X), n<∞, is the space of all nonempty compact...
AbstractFor a metric continuum X, we consider the hyperspaces C(X) and F2(X) of all subcontinua and ...
Let X be a non-metric continuum, and C(X) be the hyperspace of subcontinua of X. It is known that th...
Throughout this paper a continuum means a compact connected metric space. Let X be a continuum. By C...
AbstractSuppose X is a locally connected continuum without free arcs. It is known that the hyperspac...
We construct a metric continuum X such that the hyperspace of sub-continua, C(X), of X is not a cont...
We introduce the notion of thin continua: a continuum is thin if every nondegenerate subcontinuum ha...
Certain theorems that apply to compact, metric continua that are separated by none of their subconti...
ABSTRACT. It is proved among other things that every mapping from a subcontinuum of an hereditarily ...
AbstractFor a metric continuum X, let C(X) denote the hyperspace of subcontinua of X. The continuum ...
A continuum is a compact connected Hausdorff space. A continuum is decomposable if it can be represe...
AbstractTwo natural functions from the hyperspace 2X into the hyperspace C(C(X)) for an arbitrary me...
A continuum is a compact connected Hausdorff space. A continuum is decomposable if it can be represe...
It is proved that if a continuum X contains an Ri-continuum for some iϵ{1,2,3}, then the hyperspaces...
Throughout this paper X is a metric continuum and C(X) is the space of all subcontinua of X with the...
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