函数的图像连通性  

Graph connectedness of Functions

作　　者：杨凌云[1] 

机构地区：[1]徐州师范大学数学系

出　　处：《江苏师范大学学报（自然科学版）》1999年第1期3-5,共3页Journal of Jiangsu Normal University：Natural Science Edition

摘　　要：引入实数空间Ｒ上的图像连通函数的定义，并将它与连续函数进行比较，讨论它们之间的关系，同时研究了图像连通函数的一些类似于连续函数的性质：四则运算。The notion of graph connected functions on R is introduced,and the relationship between graph connected functions and continuous functions is discussed.Some properties of graph connected functions similar to those of continuous functions are investigated,such as four arithmetic operations,intermediate value theorem,the graph connectedness of compositions of graph connected functions,etc..

关 键 词：图像连通性 图像连通函数 连续函数 

分 类 号：O174[理学—数学]