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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 2, Pages 167–176 (Mi timm559)  
This article is cited in 3 scientific papers (total in 3 papers)

Weakly set-open topology

A. V. Osipov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (185 kB) Citations (3)
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Abstract: The properties of the weakly set-open topology on the set $C(X)$ of all real-valued functions defined on a Tikhonov space $X$ are studied. The relation between the $\mathbb R$-compact-open topology and the well-known set-open and uniform topologies on the set $C(X)$ is investigated.
Keywords: space of continuous functions, set-open topology, topology of uniform convergence on a family of sets.
Received: 10.04.2009
Bibliographic databases:
Document Type: Article
UDC: 517.982.272+515.122.55
Language: Russian
Citation: A. V. Osipov, “Weakly set-open topology”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 2, 2010, 167–176
Citation in format AMSBIB
\Bibitem{Osi10}
\by A.~V.~Osipov
\paper Weakly set-open topology
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2010
\vol 16
\issue 2
\pages 167--176
\mathnet{http://mi.mathnet.ru/timm559}
\elib{https://elibrary.ru/item.asp?id=14809452}
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  • https://www.mathnet.ru/eng/timm/v16/i2/p167
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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