ON THE EMBEDDING OF TOP IN THE CATEGORY OF STRATIFIED L-TOPOLOGICAL SPACES
ON THE EMBEDDING OF TOP IN THE CATEGORY OF STRATIFIED L-TOPOLOGICAL SPACES作者机构:Department of MathematicsSichuan UniversityChengdu 610064China Department of MathematicsSichuan UniversityChengdu 610064China
出 版 物:《Chinese Annals of Mathematics,Series B》 (数学年刊(B辑英文版))
年 卷 期:2005年第26卷第2期
页 面:219-228页
核心收录:
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金:Project supported by the 973 Project of the Ministry of Science and Technology of China(No.2002cb312200) the Excellent Young Teachers Program of the Ministry of Education of Chinaand Huo Yingdong Education Foundation
主 题:Continuous lattice L-topological space Re?ective subcategory Core-flective subcategory
摘 要:Let L be a meet continuous lattice. It is proved that the category Top of topological spaces can be embedded in the category of strati?ed L-topological spaces as a concretely both re?ective and core?ective full subcategory if and only if L is a continuous lattice.