The metrizability and completeness of the \(\sigma \)-compact-open topology on \(C^*(X)\)

DOI10.1016/j.topol.2011.10.005zbMath1256.54046OpenAlexW4206596715MaRDI QIDQ409488

J. Herrera, H. S. Yoon

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.10.005

zbMATH Keywords

function spacemetrizableČech-completepseudocompletebarreledbornologicalcompletely metrizablenuclearpartition-completesemi-reflexiveSieve-complete

Mathematics Subject Classification ID

Complete metric spaces (54E50) (p)-spaces, (M)-spaces, (sigma)-spaces, etc. (54E18) Function spaces in general topology (54C35) Metric spaces, metrizability (54E35) Topological spaces with richer structures (54E99) Baire category, Baire spaces (54E52) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Barrelled spaces, bornological spaces (46A08) Topological linear spaces and related structures (46A99) Reflexivity and semi-reflexivity (46A25)

Related Items (1)

Nuclear and reflexive properties of some locally convex topologies on \(C(X)\)

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