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Math Help - prove or disprove

  1. #1
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    prove or disprove

    there exists f: R-R, continuous, but not one to one, such that f(V) is open for any open subset V of R.

    Any ideas will be appreciated, thanks!
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  2. #2
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    Quote Originally Posted by violetsf View Post
    there exists f: R-R, continuous, but not one to one, such that f(V) is open for any open subset V of R.

    Any ideas will be appreciated, thanks!
    f(x) = x^2
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  3. #3
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    it is not R-R
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  4. #4
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    Quote Originally Posted by violetsf View Post
    it is not R-R
    So you want an onto map also?
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  5. #5
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    yes
    Quote Originally Posted by ThePerfectHacker View Post
    So you want an onto map also?
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