Federico Cantero
Published 2014-12-13Version 1
We prove that the inclusion of map(X,Y) into map(K(X),K(Y)) is continuous, where K(X) is the space of non-empty compact subsets of X (also known as the hyperspace of compact subsets of X), and both spaces of maps are endowed with the compact-open topology.
Comments: 3 pages. Any reference for this result will be welcome
Hyperspaces $C(p,X)$ of finite graphs
Self-maps under the compact-open topology
On a hyperspace of compact subsets which is homeomorphic to a non-separable Hilbert space
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