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I need help with this question.

Construct an explicit bijection from [0,1] to (0,1) over the real numbers.

I have one that works over naturals but however I cannot not figure it out over the reals. Any and all help is appreciated.

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    What does "over the real numbers" mean?2011-09-15
  • 7
    For that matter, finding a bijection between the natural numbers in $[0,1]$ and the natural numbers in $(0,1)$ seems rather difficult...2011-09-15

2 Answers 2