L拓扑空间的局部Sβ-紧性

数学季刊 ›› 2011, Vol. 26 ›› Issue (3): 453-456.

L拓扑空间的局部S_β-紧性

1. Department of Applied Mathematics, Yuncheng College2. School of Mathematics Science, Liaocheng University 3. Liaocheng First School

收稿日期:2008-10-24 出版日期:2011-09-30 发布日期:2023-04-24
作者简介:HAN Hong-xia(1980-), female, native of Datong, Shanxi, a lecturer of Yuncheng College, M.S.D., engages in L-fuzzy topology.
基金资助:
Supported by the Natural Science Foundation of Shandong Province(Y2003A01)；

Local S_β-compactness of L-topological Spaces

1. Department of Applied Mathematics, Yuncheng College2. School of Mathematics Science, Liaocheng University 3. Liaocheng First School

Received:2008-10-24 Online:2011-09-30 Published:2023-04-24
About author:HAN Hong-xia(1980-), female, native of Datong, Shanxi, a lecturer of Yuncheng College, M.S.D., engages in L-fuzzy topology.
Supported by:

Supported by the Natural Science Foundation of Shandong Province(Y2003A01)；

摘要/Abstract

摘要： In this paper, the notion of local S_β-compactness of L-topological spaces is introduced. It is proved that the local S_β-compactness is an L-good extension, which is inherited by a closed subspace, multiplicative and invariable under the continuous open surjective L-valued Zadeh function.

关键词: L-topological spaces, very S_β-compact sets, local S_β-compactness

Abstract: In this paper, the notion of local S_β-compactness of L-topological spaces is introduced. It is proved that the local S_β-compactness is an L-good extension, which is inherited by a closed subspace, multiplicative and invariable under the continuous open surjective L-valued Zadeh function.

Key words: L-topological spaces, very S_β-compact sets, local S_β-compactness

中图分类号:

O189.11

韩红霞, 孟广武, 张安英. L拓扑空间的局部S_β-紧性[J]. 数学季刊, 2011, 26(3): 453-456.

HAN Hong-xia, MENG Guang-wu, ZHANG An-ying. Local S_β-compactness of L-topological Spaces [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(3): 453-456.

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