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Ural Mathematical Journal, 2015, Volume 1, Issue 1, Pages 61–67
DOI: https://doi.org/10.15826/umj.2015.1.006 (Mi umj6) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

Alexander V. Osipovab

a N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
b Ural Federal University, Ekaterinburg, Russia
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DOI: https://doi.org/10.15826/umj.2015.1.006
Abstract: 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, Baire space, Function space.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 15-16-1-6
The work was supported by Project 15-16-1-6 comprehensive program of UB RAS.
Bibliographic databases:
Document Type: Article
Language: English
Citation: Alexander V. Osipov, “On the completeness properties of the $C$-compact-open topology on $C(X)$”, Ural Math. J., 1:1 (2015), 61–67
Citation in format AMSBIB
\Bibitem{Osi15}
\by Alexander~V.~Osipov
\paper On the completeness properties of the $C$-compact-open topology on $C(X)$
\jour Ural Math. J.
\yr 2015
\vol 1
\issue 1
\pages 61--67
\mathnet{http://mi.mathnet.ru/umj6}
\crossref{https://doi.org/10.15826/umj.2015.1.006}
\zmath{https://zbmath.org/?q=an:1396.54019}
\elib{https://elibrary.ru/item.asp?id=25613596}
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    This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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