摘要
构造了从概率L-收敛空间范畴到强满层的L-收敛空间范畴的一个嵌入函子,并证明了前者可以余反射嵌入后者.类似地,证明了当L=[0,1]时,收敛方式空间也可以余反射嵌入强满层的L-收敛空间.
In this paper,one embedding functor from a category of probabilistic L-convergence spaces to a category of strong stratified L-convergence spaces is constructed.Then it is proved that the former category can be embedded coreflectively in the later category.Similarly,it is also proved that a category of convergence approach spaces can be embedded coreflectively in the category of strong stratified L-convergence spaces in the case of L=[0,1].This shows that both probabilistic L-convergence spaces and convergence approach spaces can be regarded as the special examples of strong stratified L-convergence spaces.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
北大核心
2013年第6期627-630,共4页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(11371130)
山东省自然科学基金资助项目(ZR2013AQ011)
新疆维吾尔自治区普通高校重点学科经费资助项目(2012ZDXK25)
关键词
模糊拓扑
强满层的L-收敛空间
概率L-收敛空间
收敛方式空间
嵌入
fuzzy topology
strong stratified L-convergence space
probabilistic L-convergence space
convergence approach space
embedding
