L-拓扑空间的局部S*-紧性

L-拓扑空间的局部S*-紧性

韩红霞

运城学院应用数学系, 山西运城 044000

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: 韩红霞

Local S*-compactness of L-topological spaces

HAN Hong-xia

Department of Applied Mathematics, Yuncheng College, Yuncheng 044000, Shanxi, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: HAN Hong-xia

摘要/Abstract

摘要： 定义了L-拓扑空间的局部S*-紧性, 证明了这种局部S*-紧性是L-好的推广, 是闭可遗传的, 是可乘的, 且在连续的、开的、满的L值Zadeh型函数下保持不变。

关键词: L-拓扑空间, 局部S*-紧性 , 完全S*-紧集

Abstract: The notion of local S*-compactness of L-topological spaces was introduced. It was proved that the local S*-compactness is an L-good extension, which is inherited by a closed subspace, multiplicative, and invariable under the continuous open subjective Zadeh function.

Key words: local S*-compactness , completely S*-compact sets, L-topological spaces

中图分类号:

O189.1

韩红霞 . L-拓扑空间的局部S*-紧性[J]. J4, 2007, 42(12): 95-98 .

HAN Hong-xia . Local S*-compactness of L-topological spaces[J]. J4, 2007, 42(12): 95-98 .

参考文献

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[1]	刘红平,孟广武 . L-拓扑空间中的*-拟仿紧性[J]. J4, 2008, 43(8): 38-41 .
[2]	韩红霞 . L-拓扑空间的(强)相对半紧性[J]. J4, 2008, 43(6): 64-67 .
[3]	刘红平,孟广武 . L-拓扑空间中的F*-仿紧性[J]. J4, 2008, 43(3): 75-79 .
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