节点文献
强满层L-收敛空间的一个注记
Note on strong stratified L-convergence spaces
【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。
【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.
【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;
【Key words】 fuzzy topology; strong stratified L-convergence space; stratified L-convergence space; sufficient and necessary condition; reflection;
【Key words】 fuzzy topology; strong stratified L-convergence space; stratified L-convergence space; sufficient and necessary condition; reflection;
【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)
- 【文献出处】 计算机工程与应用 ,Computer Engineering and Applications , 编辑部邮箱 ,2014年21期
- 【分类号】O189.11
- 【网络出版时间】2014-06-26 15:05
- 【下载频次】22