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arXiv · 1412.4249

A note on hyperspaces and the compact-open topology

Federico Cantero
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Abstract

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.

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Federico Cantero. 2014-12-13. A note on hyperspaces and the compact-open topology. https://arxiv.org/abs/1412.4249

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