STRONGLYPARACOMPACT,PARACOMPACTANDWEAKLYPARACOMPACTT1-EXTENSION

被引:0
作者
董笑咏
王世堃
机构
[1] Department of Mathematics
[2] Nei Monggol Teachers' College for Nationalities
[3] Tongliao
关键词
STRONGLY PARACOMPACT; PARACOMPACT AND WEAKLY PARACOMPACT T1-EXTENSION;
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摘要
<正> In this letter we raise three special nearnesses called s-nearness, p-nearness and w-nearness. We obtain one to one correspondence between strongly paracompactification and s-nearness, paracompactification and p-nearness and weakly paracompactification and w-nearness respectively. Definition 1. Let (X) be a family of all the subsets of a topological space X and (X), ∈ S(X) iff there exists an 0 = {Aa: a ∈ A}such that for each a ∈ A, X(A0∪Aa) , here A is an ordinal number and Definition 2. A nearness v on a T1-space X
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页码:1127 / 1127
页数:1
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