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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2012, Number 1(17), Pages 47–53
(Mi vtgu238)
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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
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
Citation:
A. V. Osipov, “Algebraic structures on the space of continuous maps”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2012, no. 1(17), 47–53
Linking options:
https://www.mathnet.ru/eng/vtgu238 https://www.mathnet.ru/eng/vtgu/y2012/i1/p47
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Abstract page: | 248 | Full-text PDF : | 98 | References: | 47 | First page: | 1 |
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