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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2011, v.18 no.2, pp.157-160

https://doi.org/10.7468/jksmeb.2011.18.2.157

Kim, Won-Kyu (Department of Mathematics Education, Chungbuk National University)
Hong, Sun-Pyo (Department of Mathematics Education, Chungbuk National University)

Kim, Won-Kyu, & Hong, Sun-Pyo. (2011). A CONTINUOUS ONE-TO-ONE FUNCTION WHOSE INVERSE IS NOWHERE CONTINUOUS. 한국수학교육학회지시리즈B:순수및응용수학, 18(2), 157-160, https://doi.org/10.7468/jksmeb.2011.18.2.157

복사

Abstract

Main purpose of this note is to construct an example of a continuous one-to-one function f : <TEX>${\mathbb{Q}}^*{\rightarrow}{\mathbb{R}}$</TEX> whose inverse is nowhere continuous, and to show that the completeness is not necessary for the continuous inverse theorem.

keywords: continuous inverse function

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논문 상세

Vol.18 No.2

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

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

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학