Basic properties of 𝑋 for which the space 𝐶_{𝑝}(𝑋) is distinguished

DOI10.1090/bproc/95zbMath1482.54019arXiv2104.10506OpenAlexW3200558271MaRDI QIDQ5164020

Arkady G. Leiderman, Jerzy Kąkol

Publication date: 9 November 2021

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

Full work available at URL: https://arxiv.org/abs/2104.10506

zbMATH Keywords

scattered space\(C_p(X)\)closed mappingdistinguished locally convex space\(\Delta\)-set

Mathematics Subject Classification ID

Function spaces in general topology (54C35) General theory of locally convex spaces (46A03) Scattered spaces (54G12) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (6)

Approximation by pointwise bounded sets of continuous functions ⋮ Feral dual spaces and (strongly) distinguished spaces \(C(X)\) ⋮ Distinguished \(C_p(X)\) spaces and the strongest locally convex topology ⋮ On Asplund spaces \(C_k(X)\) and \(w^*\)-binormality ⋮ Some classes of topological spaces extending the class of Δ-spaces ⋮ Pseudocompact \(\Delta\)-spaces are often scattered

Cites Work

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• A metrizable \(X\) with \(C_p(X)\) not homeomorphic to \(C_p(X) \times C_p(X)\)
• The Ascoli property for function spaces
• Every scattered space is subcompact
• Are Eberlein-Grothendieck scattered spaces \(\sigma\)-discrete?
• On linear continuous open surjections of the spaces \(C_ p(X)\)
• Metrizable quotients of free topological groups
• Distinguished \(C_p (X)\) spaces
• A \(C_p\)-theory problem book. Compactness in function spaces
• Linear continuous surjections of \(C_{p}\)-spaces over compacta
• A \(C_p\)-theory problem book. Special features of function spaces
• A \(C_p\)-theory problem book. Topological and function spaces
• La dualité dans les espaces \((\mathcal F)\) et \((\mathcal{LF})\)
• Lindelöf P-spaces need not be Sokolov
• Δ-Sets
• Countable tightness and proper forcing
• On normality and countable paracompactness
• On Q Sets
• On Compact Hausdorff Spaces of Countable Tightness
• Function Spaces of Completely Metrizable Spaces
• Countable Paracompactness of Pixley-Roy Hyperspaces
• If not distinguished, is $C_{p}( X) $ even close?
• A characterization of $X$ for which spaces $C_p(X)$ are distinguished and its applications

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