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Math Help - Homeomorphism

  1. #1
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    Homeomorphism

    Show that (a,b) is homeomorphic to R..

    Thank you in advance
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  2. #2
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    Quote Originally Posted by math.dj View Post
    Show that (a,b) is homeomorphic to R..

    Thank you in advance
    You've left out a lot! Are we to assume that (a, b) is an interval in R with the "usual topology"? If so, you basically need to find a one-to-one function from (a,b) onto R. You should be able to find a rational function that maps a to -\infty and b to \infty.
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