Existence of real valued function continuous at $\mathbb Q$ discontinuous at $\mathbb R\backslash \mathbb Q$

Asked Apr 26 '15 at 13:21

Active Apr 26 '15 at 13:26

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Does there exist a real-valued function of a real variable which is continuous at every rational point and discontinuous at every irrational point?

edited Apr 26 '15 at 13:26

asked Apr 26 '15 at 13:21

Mirumommy

0 Answers0