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.
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.
出处
《陕西师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第3期20-23,共4页
Journal of Shaanxi Normal University：Natural Science Edition
基金
新疆教育厅高校科研计划重点项目(XJEDU2004158)
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
inverse limit
κ-subparacompactness
κ-screenable
hereditarily collectionwise subnormality
hereditarily σ-collectionwise normality
作者简介
赵斌,男,副教授,主要从事一般拓扑学的研究.
