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LF闭包空间中的几乎可数仿紧性

孙军娜 徐小玲 马保国

纺织高校基础科学学报2017,Vol.30Issue(3):352-356,378,6.
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

孙军娜 1徐小玲 2马保国2

作者信息

  • 1. 渭南师范学院数理学院,陕西渭南714099
  • 2. 延安大学西安创新学院,陕西西安710100
  • 折叠

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)

纺织高校基础科学学报

OACSTPCD

1006-8341

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