The compact-G_δ-open topology on C(X)

Pratibha Garg; S. Kundu

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The compact-G_δ-open topology on C(X)

机译：C（X）上的紧凑型G_δ-开放拓扑

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摘要

This paper introduces the compact-G_δ-open topology on the set C(X) of all real-valued continuous functions on a Tychonoff space X and compares this topology with the point-open and compact-open topologies on C(X). In the second half, the metrizability, separability and uniform completeness are studied.

机译：本文介绍了Tychonoff空间X上所有实值连续函数的集合C（X）上的compact-G_δ-open拓扑，并将此拓扑与C（X）上的点开放和紧凑开放拓扑进行了比较。在下半年，研究了可度量性，可分离性和均匀完整性。

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来源
《Topology and its applications》 |2012年第8期|p.2082-2089|共8页
作者
Pratibha Garg; S. Kundu;
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作者单位

The LNM Institute of Information Technology, Jaipur 302031, Rajasthan, India;

Department of Mathematics, Indian Institute of Technology Delhi, New Delhi 110016, India;

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原文格式 PDF
正文语种 eng
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关键词
function space; compact; G_δ-set; zero set; metrizability; separability; uniform completeness;

机译：功能空间;紧凑;G_δ-设定;调零可靠性可分离性统一完整性;

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1. Topological and functional analytic properties of the compact-G_δ-open topology on C(X) [J] . V. Jindal, S. Kundu Topology and its applications . 2014,第sepa1期

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2. Function space topologies between the uniform topology and the Whitney topology [J] . Di Concilio A. Topology and its applications . 2020,第May15期

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The compact-G_δ-open topology on C(X)

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