Geodesic
On the completeness properties of the $C$-compact-open topology on $C(X)$
Ural mathematical journal, Tome 1 (2015) no. 1, pp. 61-67

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This is a study of the completeness properties of the space $C_{rc}(X)$ of continuous real-valued functions on a Tychonoff space $X$, where the function space has the $C$-compact-open topology. Investigate the properties such as completely metrizable, Čech-complete, pseudocomplete and almost Čech-complete.
Keywords: $C$-compact-open topology, Set-open topology, Čech-complete, Function space.
Mots-clés : Baire space 
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Alexander V. Osipov. On the completeness properties of the $C$-compact-open topology on $C(X)$. Ural mathematical journal, Tome 1 (2015) no. 1, pp. 61-67. http://geodesic.mathdoc.fr/item/UMJ_2015_1_1_a5/