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Math Help - continuity

  1. #1
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    continuity

    Is there a function f : R->R having the irrational numbers as the set of its discontinuities?
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  2. #2
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    Re: continuity

    This Wikipedia page talks about this.
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  3. #3
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    Re: continuity

    thomae's function is discontinuous at rational points also. I want to know " Is there a function f : R->R having the irrational numbers as the set of its discontinuities only "
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  4. #4
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    Re: continuity

    Quote Originally Posted by swarna View Post
    I want to know " Is there a function f : R->R having the irrational numbers as the set of its discontinuities only "
    I specifically linked to the section of the page that discusses this question.
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  5. #5
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    Re: continuity

    thank you
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  6. #6
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    Re: continuity

    I think you search on google.
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