A CONTINUOUS ONE-TO-ONE FUNCTION WHOSE INVERSE IS NOWHERE CONTINUOUS

被引：0

作者：

Kim, Won Kyu ^{[1
]}

Hong, Sun Pyo ^{[1
]}

机构：

[1] Chungbuk Natl Univ, Dept Math Educ, Chungbuk 361763, Cheongju, South Korea

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2011年 / 18卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

continuous inverse function;

D O I：

10.7468/jksmeb.2011.18.2.157

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Main purpose of this note is to construct an example of a continuous one-to-one function f : Q* -> R whose inverse is nowhere continuous, and to show that the completeness is not necessary for the continuous inverse theorem.

引用

页码：157 / 160

页数：4

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