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L-smooth半预开集与L-smooth半预连续
引用本文:王延军,马保国. L-smooth半预开集与L-smooth半预连续[J]. 纺织高校基础科学学报, 2006, 19(4): 318-321
作者姓名:王延军  马保国
作者单位:延安大学,数学与计算机科学学院,陕西,延安,716000
基金项目:延安大学重点科研项目(2004-090)
摘    要:在L-smooth拓扑空间中定义了r-半预开集,r-半预闭集、r-半预内部、r-半预闭包,研究了它们的一些基本性质;同时,引入了L-smooth半预连续映射、L-smooth半预开映射及L-smooth半预闭映射的概念,给出了它们的特征性质.从而,推广了已有的结果.

关 键 词:L-smooth拓扑空间  L-smoothr-半预开集  L-smooth半预连续映射
文章编号:1006-8341(2006)04-0318-04
收稿时间:2005-11-09
修稿时间:2005-11-09

L-smooth semi-preopen sets and L-smooth semi-precontinuity
WANG Yan-jun,MA Bao-guo. L-smooth semi-preopen sets and L-smooth semi-precontinuity[J]. Basic Sciences Journal of Textile Universities, 2006, 19(4): 318-321
Authors:WANG Yan-jun  MA Bao-guo
Affiliation:College of Mathematics and Computer Science, Yanan University, Yanan 716000,Chlna
Abstract:r-semi-preopen sets,r-semi-preclosed sets,r-semi-preinterior and r-semi-preclosure are defined in L-smooth topological spaces,some of their basic properties are studied.Meanwhile,the concepts of L-smooth semi-precontinuous,semi-preopen as well as semi-preclosed mappings are introduced.Some of their characteristic properties are given.Therefore,the existing results are generalized.
Keywords:L-smooth topological space  L-smooth r-semi-preopen sets  L-smooth semi-precontinuous mappings
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