诱导L-smooth拓扑空间

诱导L-smooth拓扑空间

胡晓楠,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: 胡晓楠

Induced L-smooth topological space

HU Xiao-nan, MENG Guang-wu

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

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: HU Xiao-nan

摘要/Abstract

摘要：

引入L-fuzzifying拓扑空间及生成L-smooth拓扑空间的概念,研究了L-fuzzifying拓扑空间(X,τ)与其相应的生成L-smooth拓扑空间(LX,ω(τ))的关系;介绍了ω算子及其运算性质;给出并研究了L-smooth诱导空间,L-smooth弱诱导空间,L-smooth满层空间的定义和它们之间的联系。

关键词:

L-fuzzifying拓扑, L-smooth满层空间

, L-smooth弱诱导拓扑空间, L-smooth诱导拓扑空间, L-smooth拓扑

Abstract:

The concepts of L-fuzzifying　topological space and generated L-smooth　topological space were introduced, the connection between (X,τ)and its corresponding　generated space (LX,ω(τ)) was studyed. Also, the properties of operators ω and the concepts of induced　L-smooth　topological space, weakly induced　L-smooth　topological space and stratified L-smooth　topological space were given.

Key words: stratified L-smooth　topological space

, weakly induced L-smooth topological space, induced L-smooth　topological space, L-smooth topology,

L-fuzzifying topology

中图分类号:

O189.13

胡晓楠,孟广武 . 诱导L-smooth拓扑空间[J]. J4, 2008, 43(8): 64-68 .

HU Xiao-nan,MENG Guang-wu . Induced L-smooth topological space[J]. J4, 2008, 43(8): 64-68 .

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