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J4 ›› 2010, Vol. 45 ›› Issue (10): 78-82.

• 论文 • 上一篇    下一篇

L-预拓扑空间的局部连通性:可乘性与L-好的推广

贺晓丽1, 伏文清2   

  1. 1.西安石油大学理学院, 陕西 西安 710065;
    2.陕西师范大学数学与信息科学学院, 陕西 西安 710062
  • 收稿日期:2009-03-23 出版日期:2010-10-16 发布日期:2010-10-19
  • 作者简介:贺晓丽(1982-),女,硕士,助教,研究方向为格上拓扑学.Email:hxlsyh@gmail.com

The local connectedness of  L-pretopological spaces: product and L-good extension

HE Xiao-li1, FU Wen-qing2   

  1. 1. College of Science, Xi’an Shiyou University, Xi’an 710065, Shaanxi, China;
    2. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China
  • Received:2009-03-23 Online:2010-10-16 Published:2010-10-19

摘要:

主要证明了L-预拓扑空间的局部连通性相对乘积运算是可乘的且是L-好的推广。

关键词: 完备的DeMorgan代数;L-预拓扑空间;局部连通性; L-连续映射;乘(重)积L-预拓扑空间

Abstract:

It is mainly proved that the local connectedness is multiplicative with respect to product operation and the L-good extension.

Key words: complete DeMorgan algebra; L-pretopological space; local connectedness; L-continuous mapping; (multiple) product L-pretopological spaces

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