The Ascoli property for function spaces

DOI10.1016/j.topol.2016.08.026zbMath1360.54018arXiv1606.01013OpenAlexW2962695458MaRDI QIDQ340722

Jan Grebík, Lyubomyr Zdomskyy, Jerzy Kąkol, Saak S. Gabriyelyan

Publication date: 15 November 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.01013

zbMATH Keywords

paracompactAscoli spacestratifiable\(C_k(X)\)\(C_p(X)\)\(k\)-Fréchet-UrysohnČech-completescattered

Mathematics Subject Classification ID

Function spaces in general topology (54C35) (k)-spaces (54D50)

Related Items (12)

On the Ascoli property for locally convex spaces ⋮ Descriptive topology for analysts ⋮ Topological properties of function spaces over ordinals ⋮ On reflexivity and the Ascoli property for free locally convex spaces ⋮ Topological properties of strict (\textit{LF})-spaces and strong duals of Montel strict (\textit{LF})-spaces ⋮ Ascoli and sequentially Ascoli spaces ⋮ A note on \(\kappa\)-Fréchet-Urysohn property in function spaces ⋮ Basic properties of 𝑋 for which the space 𝐶_{𝑝}(𝑋) is distinguished ⋮ Ascoli's theorem for pseudocompact spaces ⋮ Topological properties of spaces of Baire functions ⋮ \(C _p\)-spaces dominated by metrizable topologies ⋮ A note on Banach spaces \(E\) for which \(E_w\) is homeomorphic to \(C_p(X)\)

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