Insertion of semi-continuous functions and sequences of sets

被引：14
|
作者：
Xie, L. [1 ]
Yan, P. [1 ]
机构：
[1] Wuyi Univ, Dept Math, Jiangmen 529020, Peoples R China
来源：
ACTA MATHEMATICA HUNGARICA | 2010年 / 126卷 / 1-2期
关键词：
countably paracompact space; insertion of semi-continuous functions; stratifiable space; MCP; MCM; COUNTABLE PARACOMPACTNESS; STRATIFIABLE SPACES;
D O I：
10.1007/s10474-009-9032-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the relations between decreasing sequences of sets and the insertion of semi-continuous functions, and give some characterizations of countably metacompact spaces, countably paracompact spaces, monotonically countably paracompact spaces (MCP), monotonically countably metacompact spaces (MCM), perfectly normal spaces and stratifiable spaces.
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页码：164 / 180
页数：17
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