Domain representability of retracts

被引：2
|
作者：
Onal, Suleyman [1 ]
Vural, Cetin [2 ]
机构：
[1] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey
[2] Gazi Univ, Fen Fak Matemat Bolumu, TR-06500 Ankara, Turkey
来源：
TOPOLOGY AND ITS APPLICATIONS | 2015年 / 194卷
关键词：
Subcompact space; Domain representable; Retract; Function space; C-P(X);
D O I：
10.1016/j.topol.2015.07.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that every retract of a domain representable space is domain representable. Consequently, we obtained that if C-p (X) is a countable union of its closed subcompact subspaces then X is discrete. This solves Question 7 in [5]. (C) 2015 Elsevier B.V. All rights reserved.
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页码：1 / 3
页数：3
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