次中紧空间与遗传次中紧空间

J4 ›› 2013, Vol. 48 ›› Issue (2): 79-80.

次中紧空间与遗传次中紧空间

蔡奇嵘1, 苏淑华2

东华理工大学理学院, 江西抚州 344000

收稿日期:2012-06-14 出版日期:2013-02-20 发布日期:2013-03-04
作者简介:蔡奇嵘(1982- ),女,硕士,讲师,研究方向为一般拓扑学. Email: qrcai@ecit.cn
基金资助:
江西省教改基金资助项目(JXJG10811)

he submesocompactness and the H＼hereditarily submesocompactness

CAI Qi-rong1, SU Shu-hua2

College of Science, East China Institute of Technology, Fuzhou 344000, Jiangxi, China

Received:2012-06-14 Online:2013-02-20 Published:2013-03-04

摘要/Abstract

摘要：

证明了X是次中紧空间当且仅当X的每个散射分解有一个θ-cf-开膨胀;空间X的每个散射分解有一个θ-cf-开膨胀,则X是遗传次中紧的,反之不一定成立且给出一个反例。最后给出了次中紧空间的一个相关结论。

关键词: 次中紧;遗传次中紧;散射分解;θ-cf-可膨胀

Abstract:

It is proved that the space X is a submesocompact space if and only if every scattered patition of X has a θ-cf-open expansions. If every scattered patition of X has a θcfopen expansions, than X is a hereditarily submesocompact space, but not established and given example. One result of submesocompact space is given.

Key words: submesocompactness; hereditarily submesocompactness; scattered patition; θ-cf-expandability

蔡奇嵘1, 苏淑华2. 次中紧空间与遗传次中紧空间[J]. J4, 2013, 48(2): 79-80.

CAI Qi-rong1, SU Shu-hua2. he submesocompactness and the H＼hereditarily submesocompactness[J]. J4, 2013, 48(2): 79-80.

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