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http://elar.urfu.ru/handle/10995/101672
Title: | Strongly sequentially separable function spaces, via selection principles |
Authors: | Osipov, A. V. Szewczak, P. Tsaban, B. |
Issue Date: | 2020 |
Publisher: | Elsevier B.V. |
Citation: | Osipov A. V. Strongly sequentially separable function spaces, via selection principles / A. V. Osipov, P. Szewczak, B. Tsaban. — DOI 10.1016/j.topol.2019.106942 // Topology and its Applications. — 2020. — Vol. 270. — 106942. |
Abstract: | A separable space is strongly sequentially separable if, for each countable dense set, every point in the space is a limit of a sequence from the dense set. We consider this and related properties, for the spaces of continuous and Borel real-valued functions on Tychonoff spaces, with the topology of pointwise convergence. Our results solve a problem stated by Gartside, Lo, and Marsh. © 2019 Elsevier B.V. |
Keywords: | (ΩBORΓ) (ΩΓ) BOREL FUNCTION C-SPACE FUNCTION SPACES GERLITS–NAGY SELECTION PRINCIPLES STRONG SEQUENTIAL SEPARABILITY Γ-PROPERTY Γ-SET |
URI: | http://elar.urfu.ru/handle/10995/101672 |
Access: | info:eu-repo/semantics/openAccess |
SCOPUS ID: | 85074982012 |
WOS ID: | 000514019400003 |
PURE ID: | 39eaefc7-514c-419f-8bb4-75552e0798eb 11328279 |
ISSN: | 1668641 |
DOI: | 10.1016/j.topol.2019.106942 |
Appears in Collections: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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