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

被引：0

作者：

Barkha ^{[1
]}

Prasannan, Azhuthil Raghavan ^{[2
]}

机构：

[1] Univ Delhi, Dept Math, Delhi 110007, India

[2] Univ Delhi, Maharaja Agrasen Coll, Delhi 110096, India

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2022年 / 37卷 / 03期

关键词：

  Point-open topology; open-point topology; bi-point-open topol-ogy; metrizability; submetrizability; Go-dense; first countable;

D O I：

10.4134/CKMS.c200465

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 com-pletely regular space and Y is a locally convex space.

引用

页码：905 / 913

页数：9

共 6 条

[1]

Arhangel skii A. V., 2008, Topological Groups and Related Structures, DOI DOI 10.2991/978-94-91216-35-0

[2]

Arkhangel'skii A.V., 1992, MATH ITS APPL, V78

[3] The open-point and bi-point-open topologies on C(X): Submetrizability and cardinal functions [J].