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.
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页码：157 / 160
页数：4
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