engleski

The properties of spaces which admit Whitney map

Let X be a topological space and 2^X the hyperspace of closed subsets of X. It is known that there is a Whitney map on the hyperspace 2^X for seperable metric spaces X. In this paper we study properties of spaces which admit a Whitney map for some subspaces of 2^X. We show that under some natural assumptions such spaces are closely related to separable metric spaces.

hyperspace; Whitney map

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