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Thread: prove there is no such continuous function

  1. November 18th 2011, 02:38 PM #1
    wopashui
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    prove there is no such continuous function

    Prove that there does not exist a continuous function f:R-->R satisfying f(Q) \subset R\Q and f(R\Q) \subsetQ.
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  2. November 18th 2011, 02:43 PM #2
    TheChaz
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    Re: prove there is no such continuous function

    I have proven it. What is your next command?
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