计算机工程与应用 ›› 2014, Vol. 50 ›› Issue (4): 33-35.

• 理论研究、研发设计 • 上一篇    下一篇

L-SLLSC同构L-SSC

李令强1,2,金  秋2,王丽华2,汤建钢1   

  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
  • 出版日期:2014-02-15 发布日期:2014-02-14

L-SLLSC isomorphic to L-SSC

LI Lingqiang1,2, JIN Qiu2, WANG Lihua2, TANG Jiangang1   

  1. 1.College of Mathematics and Statistics, Yili Normal University, Yining, Xinjiang 835000, China
    2.Department of Mathematics Science, Liaocheng University, Liaocheng, Shandong 252059, China
  • Online:2014-02-15 Published:2014-02-14

摘要: 对层次满层L-收敛空间引入了强左连续条件,证明了强左连续的层次满层L-收敛空间范畴:可以反射嵌入到层次满层L-收敛空间范畴;恰好可以刻画强满层L-收敛空间范畴。

关键词: 模糊拓扑, 强满层L-收敛空间, 层次满层L-收敛空间, 强左连续, 同构

Abstract: For levelwise stratified L-convergence spaces, a strong left-continuous condition is introduced. Then it is proved the category of strong left-continuous levelwise stratified L-convergence spaces: can reflectively embed into the category of levelwise stratified L-convergence spaces; and can describe the category of strong stratified L-convergence spaces rightly.

Key words: fuzzy topology, strong stratified L-convergence space, levelwise stratified L-convergence space, strong left-continuity, isomorphism