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
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
收藏
页码:595 / 605
页数:10
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