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|Title:||On separability of the functional space with the open-point and bi-point-open topologies|
|Authors:||Osipov, A. V.|
|Citation:||Osipov A. V. On separability of the functional space with the open-point and bi-point-open topologies / A. V. Osipov. — DOI 10.1007/s10474-016-0654-6 // Acta Mathematica Hungarica. — 2016. — Vol. 150. — Iss. 1. — P. 167-175.|
|Abstract:||We study the property of separability of functional space C(X) with the open-point and bi-point-open topologies and show that it is consistent with ZFC that there is a set of reals of cardinality c such that a set C(X) with the open-point topology is not a separable space. We also show in a set model (the iterated perfect set model) that for every set of reals X, C(X) with the bi-point-open topology is a separable space. © 2016, Akadémiai Kiadó, Budapest, Hungary.|
|Appears in Collections:||Научные публикации, проиндексированные в SCOPUS и WoS CC|
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