Bounded sets structure of CpX and quasi‐(DF)‐spaces

DOI10.1002/mana.201800085zbMath1444.46002OpenAlexW2972840958MaRDI QIDQ5207946

Jerzy Kąkol, Juan Carlos Ferrando, Saak S. Gabriyelyan

Publication date: 14 January 2020

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201800085

zbMATH Keywords

free locally convex spacepointwise topology(DF)-spacebounded resolutionclass $G$quasi-(DF)-space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) General theory of locally convex spaces (46A03) (k)-spaces (54D50)

Related Items (10)

\(\omega^{\omega}\)-base and infinite-dimensional compact sets in locally convex spaces ⋮ Covering properties of Cp(X) and Ck(X) ⋮ Descriptive topology for analysts ⋮ Feral dual spaces and (strongly) distinguished spaces \(C(X)\) ⋮ On bounded sets in \(C_k ( X )\) ⋮ Existence of nice resolutions in \(C_p(X)\) and its bidual often implies metrizability of \(C_p(X)\) ⋮ Unnamed Item ⋮ Distinguished \(C_p (X)\) spaces ⋮ A note on the weak topology of spaces \(C_k(X)\) of continuous functions ⋮ If not distinguished, is $C_{p}( X) $ even close?

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