统计序列空间及统计序列商映射  

Statistically sequential spaces and statistically sequentially quotient mappings

作　　者：刘丽[1] 唐忠宝[1] 林寿[2] 

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000 [2]宁德师范学院数学系,福建宁德352100

出　　处：《高校应用数学学报（A辑）》2015年第4期485-493,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(11471153;11201414)

摘　　要：统计收敛性是收敛性的重要推广,讨论了统计序列空间的性质,引入了统计序列连续映射、统计序列覆盖映射与统计序列商映射,探讨了这些映射与非统计意义下相应映射的关系及他们在统计序列空间中的作用,否定地回答了关于统计序列空间乘积性的一个问题.Statistical convergence is an important extension of usual convergence. In this paper,the properties of statistically sequential spaces are studied. After introducing the concepts of statistically sequentially continuous mappings, statistically sequence-covering mappings and statistically sequentially quotient mappings, the relationship among the new or old mappings and their effects in statistically sequential spaces are discussed. Also a negative answer is given to a problem about the products of statistically sequential spaces.

关 键 词：序列空间 统计序列空间 商映射 统计序列连续映射 统计序列商映射 

分 类 号：O189.1[理学—数学] O211.4[理学—基础数学]