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Math Help - Bijection

  1. #1
    Member kezman's Avatar
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    Bijection

    I need your help, math geniuses. I need to find a Bijection between (0,1) and [0,1) and between R and [0,1).

    Thanks
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  2. #2
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    Quote Originally Posted by kezman View Post
    I need your help, math geniuses. I need to find a Bijection between (0,1) and [0,1) and between R and [0,1).
    The standard trick is to 'shift' one countable set.
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  3. #3
    Member kezman's Avatar
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    So what you did is to compress the countable set. Its a very ingenious idea. thanks.
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