Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2012, Number 1(17), Pages 47–53 (Mi vtgu238)  
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Algebraic structures on the space of continuous maps

A. V. Osipovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
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Abstract: We study properties of the family $\lambda$ at which the set $C(X,Y)$ of all continuous mappings from a Tychonoff space $X$ into a metrizable topological vector space $Y$ equipped with the (weak) set-open topology is a topological group.
Keywords: set-open topology, weak set-open topology, topological group, $C$-compact subset, paratopological group.
Received: 15.09.2011
Document Type: Article
UDC: 517.982.272+515.122.55
Language: Russian
Citation: A. V. Osipov, “Algebraic structures on the space of continuous maps”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2012, no. 1(17), 47–53
Citation in format AMSBIB
\Bibitem{Osi12}
\by A.~V.~Osipov
\paper Algebraic structures on the space of continuous maps
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2012
\issue 1(17)
\pages 47--53
\mathnet{http://mi.mathnet.ru/vtgu238}
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  • https://www.mathnet.ru/eng/vtgu/y2012/i1/p47
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Томского государственного университета. Математика и механика
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