1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 1-1 Correspondence

  1. Oct 10, 2004 #1

    Zurtex

    User Avatar
    Science Advisor
    Homework Helper

    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

    User Avatar
    Science Advisor
    Homework Helper

    Wow thanks!

    Some serious maths rather than the kiddy version of infinite sets we have been learning lol.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook