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http://dx.doi.org/10.4134/CKMS.c200465

METRIZABILITY AND SUBMETRIZABILITY FOR POINT-OPEN, OPEN-POINT AND BI-POINT-OPEN TOPOLOGIES ON C(X, Y)

Barkha, Barkha (Department of Mathematics University of Delhi)
Prasannan, Azhuthil Raghavan (Maharaja Agrasen College University of Delhi)

Publication Information

Communications of the Korean Mathematical Society / v.37, no.3, 2022 , pp. 905-913 More about this Journal

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; $G_{\delta}$ -dense; first countable;

Citations & Related Records

Reference

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