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Zurtex
Oct10-04, 11:09 AM
I have to show that for the sets:

I = \left\{ x \; | \;0 \leq x \leq 1, x \; \epsilon \; \mathbb{R} \right\}
J = \left\{ x \; | \; 0 \leq x \leq 2, x \; \epsilon \; \mathbb{R} \right\}

That I and J are in 1 - 1 correspondence. I don't want to know how to prove this but a hint in the right direction would be really useful if possible.

TenaliRaman
Oct10-04, 11:45 AM
Apply Schroeder Bernstein Theorem...

-- AI

Zurtex
Oct10-04, 02:14 PM
Apply Schroeder Bernstein Theorem...

-- AI
Wow thanks!

Some serious maths rather than the kiddy version of infinite sets we have been learning lol.