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Possible Duplicate:
How do I define a bijection between $(0,1)$ and $(0,1]$?

Establish a one-to-one correspondence between the closed interval $[0,1]$ and the open interval $(0,1)$.

this is a problem in real analysis.

Thanks

  • 2
    Hint: taking the domain to be $[0,1]$, define the images of $0$, $1$, $1/2$, $1/3$, $\ldots$ first.2012-08-03
  • 2
    Essentially a duplicate of [this](http://math.stackexchange.com/q/160738/5363).2012-08-03

2 Answers 2