About the properties of spaces Cp(X) close to Frechet–Urysohn property
By analogy with the Fréchet-Urysohn property, the properties of n-Fréchet-Urysohn and ω-Fréchet-Urysohn spaces of the spaces Cp(X) are introduced into consideration. The connection between these properties and the properties
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Keywords
ω-cover, , Gerlits-Nagy property, Frechet Urysohn property, , Lindelof property, ω-Frechet-Urysohn, n-Frechet-UrysohnAuthors
| Name | Organization | |
| Badmaev Oleg O. | Tomsk State University | badmaev1995@bk.ru |
References
Бадмаев О.О. Об аддитивной модификации
Архангельский А.В. Топологические пространства функций. М.: Изд-во МГУ, 1989. 222 с.
Osipov A.V. Projective versions of the properties in the Scheepers Diagram // Topology and its Applications. 2020. V. 278. Art. 107232. doi: 10.1016/j.topol.2020.107232
About the properties of spaces Cp(X) close to Frechet–Urysohn property | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2024. № 87. DOI: 10.17223/19988621/87/1
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