The open-point and bi-point-open topologies on \(C(X)\): submetrizability and cardinal functions

DOI10.1016/j.topol.2015.09.042zbMath1331.54019OpenAlexW2180114633MaRDI QIDQ891266

Anubha Jindal, Subiman Kundu, Robert A.McCoy

Publication date: 16 November 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.09.042

zbMATH Keywords

charactertightnessweightcellularitypseudocharacterrestriction mapcardinal functions\(G_\delta\)-setextentinduced mapsubmetrizabilitypoint-open topologybi-point-open topologyopen-point topologysum function

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Topological spaces with richer structures (54E99) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (5)

On separability of the functional space with the open-point and bi-point-open topologies ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Completeness properties of the open-point and bi-point-open topologies on {\(C(X)\)} ⋮ The bi-compact-open topology on \(C(X)\)

Cites Work

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• The compact-\(G_\delta\)-open topology on \(C(X)\)
• Topological properties of spaces of continuous functions
• A \(C_p\)-theory problem book. Compactness in function spaces
• The open-point and bi-point-open topologies on \(C(X)\)
• A \(C_p\)-theory problem book. Special features of function spaces
• A \(C_p\)-theory problem book. Topological and function spaces
• Topologies for function spaces
• A topology for spaces of transformations
• Comparison of Topologies on Function Spaces
• On topologies for function spaces

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