Compact-open versus 𝑘-compact-open

Borges, Carlos R.

doi:10.1090/S0002-9939-1979-0512074-7

Compact-open versus $k$-compact-open
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by Carlos R. Borges PDF

Proc. Amer. Math. Soc. 73 (1979), 129-133 Request permission

Abstract:

We obtain various examples of k-spaces, one of which is first countable and another is compact, such that the space of continuous functions from a compact metric space to any of these spaces, with the compact-open topology, is not a k-space. We also improve some results on products of k-spaces.

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