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1-1 Correspondence

  1. Oct 10, 2004 #1

    Zurtex

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    I have to show that for the sets:

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

    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.
     
  2. jcsd
  3. Oct 10, 2004 #2
    Apply Schroeder Bernstein Theorem...

    -- AI
     
  4. Oct 10, 2004 #3

    Zurtex

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    Wow thanks!

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