L-双拓扑空间中的*-配仿紧性

L-双拓扑空间中的*-配仿紧性

刘红平,孟广武

聊城大学数学科学学院, 山东聊城 252059

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: 刘红平

The *-coparacompactness in L-bitopological spaces

LIU Hong-ping, MENG Guang-wu

School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: LIU Hong-ping

摘要/Abstract

摘要： 在L-双拓扑空间中引入*-配仿紧性,证明这种仿紧性是B-配紧性的推广,并且具有一些好的性质:对双闭子集遗传,在双强同胚映射下保持不变,在一定条件下B-配紧集与*-配仿紧集的乘积是*-配仿紧集。并同时证明了*-配仿紧的双T2空间既是双正则空间也是配正则空间。

关键词: L-双拓扑空间, 配正则 , 弱诱导空间, *-配仿紧性, 局部有限

Abstract: The *-coparacompactness was introduced in L-bitopological spaces. The results show that the *-coparacompactness is a extension of B-cocompactness,　and it has some good properties.　For instance, it is hereditary with respect to biclosed subsets and is preserved under strong bihomeomorphisms.　With specifical conditions, the Cartesian product of a B-cocompact set and a *-coparacompact set is a *-coparacompact set.　It was also proved that a *-coparacompact and bi-T2 space is both a bi-regular and a coregular space.

Key words: coregular , weaklyinduced space, *-coparacompactness, locally finite, L-bitopological space

中图分类号:

O189.1

刘红平,孟广武 . L-双拓扑空间中的*-配仿紧性[J]. J4, 2008, 43(4): 42-46 .

LIU Hong-ping,MENG Guang-wu . The *-coparacompactness in L-bitopological spaces[J]. J4, 2008, 43(4): 42-46 .

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed

[1]	文贤红, 吴洪博*. 局部有限BL-代数的素逆演绎系统及性质[J]. 山东大学学报（理学版）, 2014, 49(2): 36-41.
[2]	刘红平,孟广武 . L-拓扑空间中的F*-仿紧性[J]. J4, 2008, 43(3): 75-79 .
[3]	陈斌 . WN-空间的可膨胀性[J]. J4, 2006, 41(5): 48-50 .