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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 3, Pages 75–84
(Mi vuu284)
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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
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
Citation:
A. V. Osipov, D. A. Kosolobov, “On sequentially compact-open topology”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 3, 75–84
Linking options:
https://www.mathnet.ru/eng/vuu284 https://www.mathnet.ru/eng/vuu/y2011/i3/p75
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Abstract page: | 550 | Full-text PDF : | 475 | References: | 57 | First page: | 1 |
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