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Applying Cantor's diagonalization technique to sequences of functions

  1. Jan 14, 2012 #1
    As usually, I type the problem and my attempt at the solution in LaTeX.

    6214a.png

    6214b.png

    Ok, so for the last part (c), I obviously have the diagram down, now I just have to construct the nested sequence of functions that converges at every point in A. I drew a diagram to help illustrate the idea.

    picture.jpg

    Would I need to do induction on two variables? (m and k)
     
  2. jcsd
  3. Jan 15, 2012 #2
    Bump. This stuff is only undergraduate analysis, I know someone can help.
     
  4. Jan 16, 2012 #3
    I think I might have it, let me know what you guys think:

    dat.png
     
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