Function continuous on every rational points but discontinuous on irrational points

Asked Jan 21 '17 at 18:21

Active Jan 21 '17 at 18:23

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Give an example of function which is continuous on every rational points and discontinuous on irrational points?

edited Jan 21 '17 at 18:23

Watson

asked Jan 21 '17 at 18:21

user339452

Good luck with this one! :) – Ted Shifrin Jan 21 '17 at 18:24
see also http://math.stackexchange.com/questions/993770/does-there-exist-a-function-that-is-continuous-at-every-rational-point-and-disco – ThomasR Jan 21 '17 at 18:24

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