Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2022; 37(3): 905-913

Online first article May 13, 2022      Printed July 31, 2022

https://doi.org/10.4134/CKMS.c200465

Copyright © The Korean Mathematical Society.

Metrizability and submetrizability for point-open, open-point and bi-point-open topologies on $C(X,Y)$

Barkha, Azhuthil Raghavan Prasannan

University of Delhi; University of Delhi

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We characterize metrizability and submetrizability for point-open, open-point and bi-point-open topologies on scalebox{0.98}{$C(X,Y)$}, where scalebox{0.98}{$C(X,Y)$} 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, $G_delta$-dense, first countable

MSC numbers: Primary 54C35; Secondary 54D10, 54H11, 54E35

Supported by: This work was financially supported by University Grants Commission, India.

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