SET OF CONTINUOUS NOWHERE DIFFERENTIABLE FUNCTIONS

被引：9

作者：

MAULDIN, RD

机构：

[1] North Texas State University, Denton, TX

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1979年 / 83卷 / 01期

关键词：

D O I：

10.2140/pjm.1979.83.199

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be the set of all continuous real-valued functions defined on the interval [0, 1] which do not have a finite derivative anywhere. It is shown that M forms a coanalytic, non-Bore 1, subset in the space of all real-valued continuous functions on [0, 1] provided with the uniform norm. © 1979, University of California, Berkeley. All Rights Reserved.

引用

页码：199 / 205

页数：7