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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- Apr 25th 2011, 10:49 AMkezmanBijection
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 - Apr 25th 2011, 11:02 AMPlato
The standard trick is to 'shift' one countable set.

http://quicklatex.com/cache3/ql_2c46...e518842_l3.png - Apr 25th 2011, 12:16 PMkezman
So what you did is to compress the countable set. Its a very ingenious idea. thanks.