바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

Article Contents

Prev Next
e-Submission

Vol.18 No.2

Citation Share

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

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2011, v.18 no.2, pp.157-160
https://doi.org/10.7468/jksmeb.2011.18.2.157
Kim, Won-Kyu
Hong, Sun-Pyo
Kim,, W. , & Hong,, S. (2011). A CONTINUOUS ONE-TO-ONE FUNCTION WHOSE INVERSE IS NOWHERE CONTINUOUS. , 18(2), 157-160, https://doi.org/10.7468/jksmeb.2011.18.2.157

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

Reference

1.

2.

3.

4.

5.

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

e-Submission OA Policy