Metrizability and Submetrizability for point-open, open-point and Bi-point-open topologies on C(X,Y)
Commun. Korean Math. Soc.
Published online May 13, 2022
Barkha . and A. R. PRASANNAN
University of Delhi; Department of Mathematics, Maharaja Agrasen College, University of Delhi
Abstract : We characterize metrizability and submetrizability for point-open, open-point and bi-point-open topologies on C(X,Y ),
where C(X,Y ) denotes the set of all continuous functions from space X to Y ; X is a completely regular space and Y is a locally convex space.
Keywords : Point-open topology, Open-point topology, Bi-point-open topology, Metrizability, Submetrizability, Topological group, First countable
MSC numbers : 54C35, 54D10, 54H11, 54E35
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