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

Printable View

- April 25th 2011, 09:49 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 - April 25th 2011, 10:02 AMPlato
The standard trick is to 'shift' one countable set.

http://quicklatex.com/cache3/ql_2c46...e518842_l3.png - April 25th 2011, 11:16 AMkezman
So what you did is to compress the countable set. Its a very ingenious idea. thanks.