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: Cantor's Theorem (real analysis)

  1. Sep 12, 2010 #1
    Google has my particular homework online. I am doing 1.5.6, 1.5.7, 1.5.8

    On 1.5.6 a), I created a function f(x) such that {a} if x = a, {b} if x = b, {c} if x=c. This is 1-1 since each element of A gets mapped to something different. Its obviously not onto.

    Skipping down to 1.5.7, I need to create the set B for this function. For any a, it cant be an element of f(a). Does this mean B = the empty set?

    If so, I think I can tackle the rest...
     
  2. jcsd
  3. Sep 12, 2010 #2

    hunt_mat

    User Avatar
    Homework Helper

    If you want help, then I suggest you post your question here. We're not going to do an in depth google search to find your homework.
     
  4. Sep 12, 2010 #3
    Last edited by a moderator: Apr 25, 2017
  5. Sep 12, 2010 #4

    Office_Shredder

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    In this case B is going to be the empty set
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook