Enviar artigo por via de e-mail Separability and Sequential Separability of the Space C(X)
- Autores: Osipov A.V.1,2,3
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Afiliações:
- Krasovskii Institute of Mathematics and Mechanics
- Ural Federal University
- Ural State University of Economics
- Edição: Volume 104, Nº 1-2 (2018)
- Páginas: 86-95
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151123
- DOI: https://doi.org/10.1134/S0001434618070106
- ID: 151123
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Resumo
The following results are obtained: (1) a criterion for the separability of the space of continuous functions C(X) with the set-open topology; (2) a criterion for the sequential separability of the space Cp(A|X), where A ⊆ X; (3) an answer to Velichko’s question of whether a set-theoretic condition on a metric space X in a criterion for the sequential separability of Cp(X) is necessary.
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Sobre autores
A. Osipov
Krasovskii Institute of Mathematics and Mechanics; Ural Federal University; Ural State University of Economics
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Email: oab@list.ru
Rússia, Yekaterinburg, 620990; Yekaterinburg, 620002; Yekaterinburg, 620219
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