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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 4, Pages 258–277 (Mi timm769)  
This article is cited in 4 scientific papers (total in 4 papers)

Properties of the $C$-compact-open topology on a function space

A. V. Osipovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
Full-text PDF (278 kB) Citations (4)
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Abstract: We study the $C$-compact-open topology on the set $C(X)$ of all continuous real-valued functions defined on a Tikhonov space $X$. The relations between the $C$-compact-open topology and the compact-open and bounded-open topologies on the set $X$ are studied. We also investigate the cardinal-valued characteristics of the space $C(X)$ equipped with the $C$-compact-open topology, for example, the Suslin number, Lindelöf number, weight, and density.
Keywords: space of continuous functions, set-open topology, compact-open topology, $C$-compact subset, topology of uniform convergence.
Received: 12.05.2011
Bibliographic databases:
Document Type: Article
UDC: 517.982.272+515.122.55
Language: Russian
Citation: A. V. Osipov, “Properties of the $C$-compact-open topology on a function space”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 4, 2011, 258–277
Citation in format AMSBIB
\Bibitem{Osi11}
\by A.~V.~Osipov
\paper Properties of the $C$-compact-open topology on a~function space
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 4
\pages 258--277
\mathnet{http://mi.mathnet.ru/timm769}
\elib{https://elibrary.ru/item.asp?id=17870442}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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