逆极限的遗传集体次正规性与遗传σ-集体正规性-陕西师范大学学报期刊社网站

陕西师范大学学报（自然科学版）

专题研究

逆极限的遗传集体次正规性与遗传σ-集体正规性

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赵斌，邓勇

(喀什师范学院数学系，新疆喀什 844007)

赵斌,男，副教授,主要从事一般拓扑学的研究.

摘要:

研究了逆极限的遗传集体次正规性与遗传σ-集体正规性.分别证明了仅在假定逆极限空间是遗传κ-次仿紧的条件下，遗传集体次正规性即可被其逆极限空间所保持;在假定逆极限空间是遗传κ-可遮的条件下，遗传σ-集体正规性可被其逆极限空间保持.

关键词：

逆极限; κ-次仿紧; κ-可遮; 遗传集体次正规; σ-集体正规

收稿日期：

2007-04-06

中图分类号：

O189.11

文献标识码：

文章编号：

1672-4291(2007)03-0020-04

基金项目：

新疆教育厅高校科研计划重点项目(XJEDU2004158)

Doi:

Hereditarily collectionwise subnormality and hereditarily σ-collectionwise normality of inverse limits

ZHAO Bin, DENG Yong

(Department of Mathematics, Kashgar Teachers College, Kashgar 844007, Xinjiang, China)

Abstract:

Hereditarily collectionwise subnormality and hereditarily σ-collectionwise normality of inverse limits are studied. It is proved that the hereditarily collectionwise normality and the hereditarily σ-collectionwise normality can be preserved by the inverse limit spaces under the assumptions of hereditarily κ-subparacompactness and hereditarily κ-screenability, respectively.

KeyWords:

inverse limit; κ-subparacompactness; κ-screenable; hereditarily collectionwise subnormality; hereditarily σ-collectionwise normality