函数在点集ER^n上连续的六个层次  

The six leveles of the continuity of the functions on point set ER^n

作　　者：林谦[1] 

机构地区：[1]云南师范大学数学学院,云南昆明650092

出　　处：《云南师范大学学报（自然科学版）》2002年第4期4-7,共4页Journal of Yunnan Normal University:Natural Sciences Edition

摘　　要：文章系统地论述了函数在点集 E Rn上连续的各种概念 ,并给出了各种连续间的六层图 .最后 。In this paper , we state systemlly some notions of the continuity of the functions on a point set ER n , and give a graph which charaterizes the six levels of the continuity of the functions on the set . Using this graph , we give the simply proof of some important theorems .

关 键 词：点集 连续函数 几乎处处连续 本性连续 近乎连续 六层图 狄利克雷函数 

分 类 号：O174.1[理学—数学]