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The conditions for the composition map to be continuous looks very strange to me. A regular space is usually already
Hausdorff (unless you use strange and very non-Bourbaki definitions) and one usually only talks about a space being locally compact if it is already Hausdorff. Plus the locally
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If the codomain of the functions under consideration have a uniform structure or a metric structure then the compact-open topology is the "topology of uniform convergence on compact sets."
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a uniform structure or a metric structure then the compact-open topology is the "topology of uniform convergence on compact sets."
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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as the uniform structure is a property of the codomain, not the functions?
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In the first sentence of the second paragraph in the introduction:
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If the codomain of the functions under consideration
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