纺织高校基础科学学报2017,Vol.30Issue(3):352-356,378,6.DOI:10.13338/j.issn.1006-8341.2017.03.010
LF闭包空间中的几乎可数仿紧性
Almost countable paracompactness in LF closure spaces
摘要
Abstract
The almost countable paracompactness is introduced based on the compactness in LF closure spaces.The concept of the almost countable paracompact sets and its characteristic are described.The properties of almost countable paracompactness in LF closure spaces are investigated,such that hereditary with respect to sets as (C)ech closure operator.The property is kept the same under the continuous L-Zadeh function which is induces from F,with weakly invariant with embryo.(L x,ωL (~)) is the almost countable paracompactness in LF closure spaces if and only if (X,~) is the almost countable paracompactness in distinct closure space,so the almost countable paracompactness is "L-good extension".关键词
LF闭包空间/几乎α--包域族/余加细/α-局部有限Key words
LF closure spaces/almost α-closure family/refinement/α-locally finite分类
数理科学引用本文复制引用
孙军娜,徐小玲,马保国..LF闭包空间中的几乎可数仿紧性[J].纺织高校基础科学学报,2017,30(3):352-356,378,6.基金项目
渭南师范学院教学改革研究项目(JG201657) (JG201657)