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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 2, Pages 191–198 (Mi timm819)  
This article is cited in 1 scientific paper (total in 1 paper)

On the completeness properties of the $C$-compact-open topology on $C(X)$

A. V. Osipovab

a Ural Federal University
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
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Abstract: 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, Baire space, function space.
Received: 12.01.2012
Bibliographic databases:
Document Type: Article
UDC: 517.982.272+515.122.55
Language: Russian
Citation: A. V. Osipov, “On the completeness properties of the $C$-compact-open topology on $C(X)$”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 2, 2012, 191–198
Citation in format AMSBIB
\Bibitem{Osi12}
\by A.~V.~Osipov
\paper On the completeness properties of the $C$-compact-open topology on~$C(X)$
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 2
\pages 191--198
\mathnet{http://mi.mathnet.ru/timm819}
\elib{https://elibrary.ru/item.asp?id=17736197}
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  • https://www.mathnet.ru/eng/timm819
  • https://www.mathnet.ru/eng/timm/v18/i2/p191
    Translation
    This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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