Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki
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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 3, Pages 75–84 (Mi vuu284)  

This article is cited in 5 scientific papers (total in 5 papers)

MATHEMATICS

On sequentially compact-open topology

A. V. Osipova, D. A. Kosolobovb

a Department of Algebra and Topology, Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
b Ural Federal University, Yekaterinburg, Russia
Full-text PDF (567 kB) Citations (5)
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Abstract: We investigate sequentially compact-open topology on the set of all continuous real-valued functions $C(X)$, defined on a Tychonov space $X$. We study the basic properties of this topology and relationships with well-known set-open topologies.
Keywords: space of continuous functions, set-open topology, compact-open topology, sequentially compact subset, topology of uniform convergence.
Received: 21.06.2011
Document Type: Article
UDC: 517.982.272+515.122.55
MSC: 54C40, 54C35, 54D60
Language: Russian
Citation: A. V. Osipov, D. A. Kosolobov, “On sequentially compact-open topology”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 3, 75–84
Citation in format AMSBIB
\Bibitem{OsiKos11}
\by A.~V.~Osipov, D.~A.~Kosolobov
\paper On sequentially compact-open topology
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2011
\issue 3
\pages 75--84
\mathnet{http://mi.mathnet.ru/vuu284}
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  • https://www.mathnet.ru/eng/vuu284
  • https://www.mathnet.ru/eng/vuu/y2011/i3/p75
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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    Full-text PDF :476
    References:58
    First page:1
     
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