摘要
基于在子基正规空间上推广后的Urysohn引理,本文将Tietze扩张定理分别推广至子基第一正规空间和子基第二正规空间.
Based on generalizing of Urysohn lemma in normal spaces about sub-bases, this dissertation generalizes Tietze expansion theorem to the first normal spaces and the second normal spaces about sub-bases, respectively.
作者
蔡巧琳
CAI Qiaolin(School of Mathematics and Stastics, Minnan Normal University, Zhangzhou, Fujian 363000, China)
出处
《闽南师范大学学报(自然科学版)》
2019年第3期14-19,共6页
Journal of Minnan Normal University:Natural Science
关键词
Tietze扩张定理
子基第一正规空间
子基第二正规空间
Tietze expansion theorem
the first normal spaces about sub-bases
the second normal spaces about sub-bases