遗传σ-可膨胀与遗传几乎σ-可膨胀空间的逆极限

遗传σ-可膨胀与遗传几乎σ-可膨胀空间的逆极限

赵斌¹，江守礼²

1．喀什师范学院数理系，新疆喀什 844007； 2. 山东大学数学与系统科学学院, 山东济南 250100

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 赵斌

Inverse limits of hereditarily σ-expandable and almost hereditarilyσ-expandable spaces

ZHAO Bin¹，JIANG Shou-li²

1. Department of Mathematics, Kashgar Teachers College, Kashgar 844007, Xingjiang;2. School of Mathematics and System Science, Shandong Univ., Jinan 250100, Shandong

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: ZHAO Bin

摘要/Abstract

摘要： 研究了四类可膨胀空间的逆极限性质，主要证明了在逆极限空间是遗传κ-仿紧条件下遗传σ-（离散）可膨胀性能够被逆极限空间所保持，在逆极限空间是遗传κ-亚紧条件下遗传几乎σ-（离散）可膨胀性也能够被逆极限空间所保持.

关键词: 逆极限空间, κ-仿紧, 遗传几乎σ-可膨胀 , 遗传σ-可膨胀, κ-亚紧

Abstract: The properties of inverse limit spaces of four class spaces of expandablities are studied. It is proven that the hereditarily σ-expandabilities (hereditarily σ-discretely expandabilities ) can be preserved by the inverse limit space under the condition of hereditarily κ-paracompactness. The hereditarily almost σ-expandabilities (hereditarily almost σ-discretely expandabilities) can be preserved by the inverse limit space under the condition of hereditarily κ-metacompactness.

Key words: hereditarily almost σ-expandable , hereditarily σ-expandable, κ-metacompact, κ-paracompact, inverse limit space

中图分类号:

O189.11

赵斌,江守礼 . 遗传σ-可膨胀与遗传几乎σ-可膨胀空间的逆极限[J]. J4, 2007, 42(7): 87-90 .

ZHAO Bin,JIANG Shou-li . Inverse limits of hereditarily σ-expandable and almost hereditarilyσ-expandable spaces[J]. J4, 2007, 42(7): 87-90 .

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