Note on strong stratified L-convergence spaces

Computer Engineering and Applications ›› 2014, Vol. 50 ›› Issue (21): 29-31.

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Note on strong stratified L-convergence spaces

LI Lingqiang1，2，3, TANG Jiangang1

1.College of Mathematics and Statistics, Yili Normal University, Yining, Xinjiang 835000, China
2.School of Mathematics Science, Liaocheng University, Liaocheng, Shandong 252059, China
3.College of Mathematics and Econometrics, Hunan University, Changsha 410082, China

Online:2014-11-01 Published:2014-10-28

强满层L-收敛空间的一个注记

李令强1，2，3，汤建钢1

1.伊犁师范学院数学与统计学院，新疆伊宁 835000
2.聊城大学数学科学学院，山东聊城 252059
3.湖南大学数学与计量经济学院，长沙 410082

Abstract

Abstract: It is well known that a strong L-stratified convergence space is natural a stratified L-convergence space, but the converse is not true. A sufficient and necessary condition such as a stratified L-convergence space to be a strong stratified L-convergence space is given. An approach to generate strong stratified L-convergence space is presented. Then based on it, a concrete reflection from stratified L-convergence spaces to strong stratified L-convergence spaces is constructed.

Key words: fuzzy topology, strong stratified L-convergence space, stratified L-convergence space, sufficient and necessary condition, reflection

摘要： 众所周知，强满层L-收敛空间自然是满层L-收敛空间，但反之不成立。给出了满层L-收敛空间成为强满层L-收敛空间的一个充要条件。给出了一种生成满层L-收敛空间的方法，并由此构造了一个从满层L-收敛空间到强满层L-收敛空间的具体的反射。

关键词: 模糊拓扑, 强满层L-收敛空间, 满层L-收敛空间, 充要条件, 反射

LI Lingqiang1，2，3, TANG Jiangang1. Note on strong stratified L-convergence spaces[J]. Computer Engineering and Applications, 2014, 50(21): 29-31.

李令强1，2，3，汤建钢1. 强满层L-收敛空间的一个注记[J]. 计算机工程与应用, 2014, 50(21): 29-31.

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Note on strong stratified L-convergence spaces

强满层L-收敛空间的一个注记

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