Geodesic
On the completeness properties of the $C$-compact-open topology on $C(X)$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 2, pp. 191-198 Cet article a éte moissonné depuis la source Math-Net.Ru

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The completeness properties of the space $C_{rc}(X)$ of all continuous real-valued functions on a Tikhonov space $X$ are studied, where the function space has the $C$-compact-open topology. The properties of complete metrizability, Čech completeness, pseudocompleteness, and almost Čech-comp leteness are investigated.
Keywords: $C$-compact-open topology, set-open topology, Čech completeness, function space.
Mots-clés : Baire space 
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A. V. Osipov. On the completeness properties of the $C$-compact-open topology on $C(X)$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 2, pp. 191-198. http://geodesic.mathdoc.fr/item/TIMM_2012_18_2_a16/

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