Compact-open topology

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What Wikipedia says

In mathematics, the compact-open topology is a topology defined on the set of continuous maps between two topological spaces. The compact-open topology is one of the commonly used topologies on function spaces, and is applied in homotopy theory and functional analysis. It was introduced by Ralph Fox in 1945.

Excerpt from the Wikipedia article “Compact-open topology”, under the CC BY-SA 4.0 license. Read the article on Wikipedia