Efimov spaces and the separable quotient problem for spaces \(C_{p}(K)\)

DOI10.1016/j.jmaa.2017.08.010zbMath1383.46002OpenAlexW2744755969MaRDI QIDQ2405361

Wiesław Śliwa, Jerzy Kąkol

Publication date: 25 September 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.08.010

zbMATH Keywords

spaces of continuous functions\(C_p(X)\)separable quotient problempointwise topology

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

Descriptive topology for analysts ⋮ Metrizable quotients of free topological groups ⋮ On metrizable subspaces and quotients of non-Archimedean spaces \(C_p(X, \mathbb{K})\) ⋮ Separable quotients for less-than-barrelled function spaces ⋮ Grothendieck $C(K)$-spaces and the Josefson–Nissenzweig theorem ⋮ On subspaces of spaces \(C_p(X)\) isomorphic to spaces \(c_0\) and \(\ell_q\) with the topology induced from \(\mathbb{R}^{\mathbb{N}}\) ⋮ Separable Quotients of Free Topological Groups ⋮ Metrizable quotients of \(C_p\)-spaces ⋮ The quotient/codimension problems ⋮ Non homeomorphic hereditarily weakly Koszmider spaces ⋮ 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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