The bi-compact-open topology on C(X)

被引：1

作者：

Jindal A. ^{[1
]}

McCoy R.A. ^{[2
]}

Kundu S. ^{[1
]}

机构：

[1] Department of Mathematics, Indian Institute of Technology Delhi, New Delhi

[2] Department of Mathematics, Virginia Tech, Blacksburg, 24061-0123, VA

来源：

Bollettino dell'Unione Matematica Italiana | 2017年 / 10卷 / 4期

关键词：

Bi-compact-open topology; Compact-open topology; Open-point topology; Separable; Separation; Submetrizable;

D O I：

10.1007/s40574-016-0095-8

中图分类号：

学科分类号：

摘要：

For the set C(X) of real-valued continuous functions on a Tychonoff space X, the compact-open topology on C(X) is a “set-open topology”. This paper studies the separation and countability properties of the space C(X) having the topology given by the join of the compact-open topology and an “open-set topology” called the open-point topology, that was introduced in Jindal et al. (Topol. Appl. 187: 62–74, 2015). © 2016, Unione Matematica Italiana.

引用

页码：595 / 605

页数：10

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