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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 2, Pages 177–184 (Mi timm233)  
This article is cited in 13 scientific papers (total in 13 papers)

On the coincidence of the set-open and uniform topologies

S. È. Nokhrin, A. V. Osipova

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (168 kB) Citations (13)
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Abstract: The $\mathbb R$-compactness property is studied and criteria are established for the coincidence of the set-open topology and the topology of uniform convergence on the spaces of continuous functions.
Keywords: space of continuous functions, set-open topology, topology of uniform convergence on a family of sets.
Received: 03.02.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2009, Volume 267, Issue 1, Pages S184–S191
DOI: https://doi.org/10.1134/S0081543809070165
Bibliographic databases:
Document Type: Article
UDC: 517.982.272+515.122.55
Language: Russian
Citation: S. È. Nokhrin, A. V. Osipov, “On the coincidence of the set-open and uniform topologies”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 2, 2009, 177–184; Proc. Steklov Inst. Math. (Suppl.), 267, suppl. 1 (2009), S184–S191
Citation in format AMSBIB
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\by S.~\`E.~Nokhrin, A.~V.~Osipov
\paper On the coincidence of the set-open and uniform topologies
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 2
\pages 177--184
\mathnet{http://mi.mathnet.ru/timm233}
\elib{https://elibrary.ru/item.asp?id=12878779}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2009
\vol 267
\issue , suppl. 1
\pages S184--S191
\crossref{https://doi.org/10.1134/S0081543809070165}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000274041900016}
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  • https://www.mathnet.ru/eng/timm/v15/i2/p177
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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