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.
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页码：595 / 605
页数：10
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