山东理工大学学报(自然科学版)2018,Vol.32Issue(3):17-20,4.
S-弱θ-Lindelöff加细空间
S-weak θ-Lindel?ff-refinable spaces
摘要
Abstract
Combining θ-refinable spaces with weak θ-refinable spaces,comparing Lindel?ff spaces with S-paracompact spaces,and studying the conceptions and related properties of them,the new types of spaces are introduced.Namely S-weak θ-Lindel?ff refinable spaces and S-θ-Lindel?ff re-finable spaces.Based on the conceptions of semi-open set and semi-closed set in topological space, the characteristics and properties of S-weak-Lindel?ff and S-θ-Lindel?ff refinable spaces are in-vestigated,then several main results are obtained.Complete S-weak-Lindel?ff refinable spaces are S-subparacompact spaces.The closed Lindel?ff mapping of S-weak θ-Lindel?ff refinable space is also refinable.关键词
S-弱θ-Lindelöff加细/S-θ-Lindelöff加细/半开集/完备空间/闭Lindelöff映射Key words
S-weak θ-Lindelöff refinable/S-θ-Lindelöff refinable/semi-open set/perfect space/closed Lindelöff mapping分类
数理科学引用本文复制引用
孙文,何兆容..S-弱θ-Lindelöff加细空间[J].山东理工大学学报(自然科学版),2018,32(3):17-20,4.基金项目
安徽省高等学校省级优秀青年人才基金项目(2010SQRL158) (2010SQRL158)