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。
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.
出处
《计算机工程与应用》
CSCD
2014年第21期29-31,共3页
Computer Engineering and Applications
基金
国家自然科学基金(No.11371130)
新疆维吾尔自治区普通高校重点学科经费资助(No.2012ZDXK25)
山东省自然科学基金(No.ZR2013AQ011
No.ZR2013FL006)
湖南省科技计划项目资助(No.2012RS4029)
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
fuzzy topology
strong stratified L-convergence space
stratified L-convergence space
sufficient and necessarycondition
reflection
