The compact-\(G_\delta\)-open topology on \(C(X)\)

DOI10.1016/j.topol.2012.01.017zbMath1247.54024OpenAlexW2321717863MaRDI QIDQ411809

Pratibha Garg, Subiman Kundu

Publication date: 30 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.2012.01.017

zbMATH Keywords

separabilitycompactfunction spacezero setmetrizability\(G_{\delta}\)-setuniform completeness

Mathematics Subject Classification ID

(p)-spaces, (M)-spaces, (sigma)-spaces, etc. (54E18) Function spaces in general topology (54C35) Compactness (54D30) Metric spaces, metrizability (54E35) Topology of special sets defined by functions (54C50) Separability of topological spaces (54D65)

Related Items

The open-point and bi-point-open topologies on \(C(X)\): submetrizability and cardinal functions ⋮ Completeness properties of the open-point and bi-point-open topologies on {\(C(X)\)} ⋮ Topological and functional analytic properties of the compact-\(G_\delta\)-open topology on \(C(X)\) ⋮ The open-point and bi-point-open topologies on \(C(X)\) ⋮ The bi-compact-Gδ-open topology

Cites Work

• Topological groups and related structures
• The metrizability and completeness of the support-open topology on \(C(X)\)
• A survey of Baire measures and strict topologies
• Completeness properties of function spaces
• Generalizations of the first axiom of countability
• Weak and support-open topologies on \(C(X)\)
• Products of normal spaces with metric spaces
• Topologies for function spaces
• A topology for spaces of transformations
• Spaces of Countable and Point-Countable Type
• Comparison of Topologies on Function Spaces
• On topologies for function spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item