Add to ORKGAbstract. It is shown that the hyperspace of nonempty (bounded) closed subsets CldH(X) (BddH(X)) of a metric space (X, d) is homeomorphic to `2 if and only if the completion X of X is connected, and locally connected, X is topologically complete and nowhere locally compact, and each (bounded) subset of X is totally bounded. 1
AbstractWe characterize complete metric absolute (neighborhood) retracts in terms of existence of ce...
This paper defines the Hausdorff metric on a closed and bounded subsets compact metric space. Throug...
Let us recall that a topological space M is a topological manifold if M is second-countable Hausdorf...
Abstract. We characterize metric spaces X whose hyperspaces 2X or Bd(X) of non-empty closed (bounded...
We prove that the hyperspace of closed bounded sets with the Hausdor_ topology, over an almost conve...
For a metric space X, we denote the hyperspaces of nonempty closed subsets, closed connected subsets...
AbstractWe show that the hyperspace F(X) of all nonempty finite subsets of a metric space X, topolog...
Abstract. Let R n denote n-dimensional Euclidean space and C(R n) denote the hyperspace of closed co...
summary:We calculate the density of the hyperspace of a metric space, endowed with the Hausdorff or ...
AbstractWe show that for various compact metric spaces X, the space of homeomorphisms H(X) is homeom...
In this paper we study properties of metric spaces. We consider the collection of all nonempty close...
AbstractIf (Y, d) is a complete metric space with a non-Archimedean metric d, then there exists a se...
XFor X a metric continuum, let 2 be the hyperspace of all nonempty subcompacta, with the Hausdorff m...
Abstract. Let BdH( m) be the hyperspace of nonempty bounded closed subsets of Euclidean space m endo...
The primary objective of this paper is to consider a metric space (X,d) that is not complete and ana...
AbstractWe characterize complete metric absolute (neighborhood) retracts in terms of existence of ce...
This paper defines the Hausdorff metric on a closed and bounded subsets compact metric space. Throug...
Let us recall that a topological space M is a topological manifold if M is second-countable Hausdorf...
Abstract. We characterize metric spaces X whose hyperspaces 2X or Bd(X) of non-empty closed (bounded...
We prove that the hyperspace of closed bounded sets with the Hausdor_ topology, over an almost conve...
For a metric space X, we denote the hyperspaces of nonempty closed subsets, closed connected subsets...
AbstractWe show that the hyperspace F(X) of all nonempty finite subsets of a metric space X, topolog...
Abstract. Let R n denote n-dimensional Euclidean space and C(R n) denote the hyperspace of closed co...
summary:We calculate the density of the hyperspace of a metric space, endowed with the Hausdorff or ...
AbstractWe show that for various compact metric spaces X, the space of homeomorphisms H(X) is homeom...
In this paper we study properties of metric spaces. We consider the collection of all nonempty close...
AbstractIf (Y, d) is a complete metric space with a non-Archimedean metric d, then there exists a se...
XFor X a metric continuum, let 2 be the hyperspace of all nonempty subcompacta, with the Hausdorff m...
Abstract. Let BdH( m) be the hyperspace of nonempty bounded closed subsets of Euclidean space m endo...
The primary objective of this paper is to consider a metric space (X,d) that is not complete and ana...
AbstractWe characterize complete metric absolute (neighborhood) retracts in terms of existence of ce...
This paper defines the Hausdorff metric on a closed and bounded subsets compact metric space. Throug...
Let us recall that a topological space M is a topological manifold if M is second-countable Hausdorf...