A STUDY ON RARE m(X) SETS AND RARELY m(X) CONTINUOUS FUNCTIONS

作者：Bhattacharya Sharmistha^*

来源：Hacettepe Journal of Mathematics and Statistics, 2010, 39(3): 295-303.

• m(X) set
• Rare set
• Rarely continuous function

The aim of this paper is to introduce the concept of rare m(X) sets, dense m(X) sets and rarely m(X) continuous functions. Some properties of these sets are studied and it is shown that only the null set is both a rare m(X) set and an open m(X) set.

• 出版日期2010-9