Monotone insertion of semi-continuous maps to ordered topological vector spaces

被引：2
|
作者：
Jin, Ying-Ying [1 ]
Xie, Li-Hong [1 ]
Yue, Hong-Wei [2 ]
机构：
[1] Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Peoples R China
[2] Wuyi Univ, Sch Informat Engn, Jiangmen 529020, Peoples R China
来源：
TOPOLOGY AND ITS APPLICATIONS | 2017年 / 226卷
关键词：
Insertion property; Stratifiable spaces; Semi-stratifiable spaces; Ordered topological vector space; Lower semi-continuous; Upper semi-continuous; COUNTABLE PARACOMPACTNESS; STRATIFIABLE SPACES;
D O I：
10.1016/j.topol.2017.05.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the problem of inserting semi-continuous maps with values into some ordered topological vector spaces in a monotone fashion. We answer the questions of K. Yamazaki and provide a new characterization of stratifiable spaces, semi-stratifiable spaces, countably paracompact spaces, countably metacompact spaces, perfect spaces, and perfectly normal spaces during this process. (C) 2017 Elsevier B.V. All rights reserved.
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页码：120 / 133
页数：14
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