Separable quotients in 𝐶_{𝑐}(𝑋), 𝐶_{𝑝}(𝑋), and their duals

DOI10.1090/proc/13360zbMath1383.46003OpenAlexW2605508614MaRDI QIDQ5274741

Jerzy Kąkol, Stephen A. Saxon

Publication date: 6 July 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13360

zbMATH Keywords

weak barrelledness(properly) separable quotients\( P\)-spaces\(C(X) \)

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Barrelled spaces, bornological spaces (46A08)

Related Items (13)

On the separable quotient problem for Banach spaces ⋮ Efimov spaces and the separable quotient problem for spaces \(C_{p}(K)\) ⋮ Descriptive topology for analysts ⋮ On metrizable subspaces and quotients of non-Archimedean spaces \(C_p(X, \mathbb{K})\) ⋮ A topological group observation on the Banach-Mazur separable quotient problem ⋮ Separable quotients for less-than-barrelled function spaces ⋮ The separable quotient problem for topological groups ⋮ Metrizable quotients of \(C_p\)-spaces ⋮ Separability of topological groups: a survey with open problems ⋮ The quotient/codimension problems ⋮ If not distinguished, is $C_{p}( X) $ even close? ⋮ Josefson-Nissenzweig property for \(C_p\)-spaces ⋮ On complemented copies of the space \(c_0\) in spaces \(C_p(X \times Y)\)

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