Discontinuity and involutions on countable sets

Sung Soo Kim; Szymon Plewik

Published: 2003-09-30

Vol. 17 (2003)

Discontinuity and involutions on countable sets

Sung Soo Kim , Szymon Plewik

Abstract

For any infinite subset X of the rationals and a subset F ⊆ X which has no isolated points in X we construct a function f : X→X such that f(f(x)) = x for each x∈X and F is the set of discontinuity points of f.

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Kim, S. S., & Plewik, S. (2003). Discontinuity and involutions on countable sets. Annales Mathematicae Silesianae, 17, 7–8. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14096

Sung Soo Kim

Affiliation:

Hanyang University, Korea Korea, Republic of

Szymon Plewik

plewik@ux2.math.us.edu.pl

Affiliation:

Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland

Vol. 17 (2003)
Published: 2003-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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