Discontinuity and Involutions on Countable Sets

Details Discontinuity and Involutions on Countable Sets Discontinuity and Involutions on Countable Sets

2007-05-15

arxiv.org/abs/0705.2109v1

Annales Mathematics Silesianae 17 (2003), 7 - 8

Mathematics

General Mathematics

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Scientific paper

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

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