Recent content by Sesp

  1. S

    What is the relationship between limsup and liminf in real analysis?

    Actually I think I get it. Had a look at wikipedia's definition of liminf and limsup for sets http://en.wikipedia.org/wiki/Limit_superior_and_limit_inferior In the example there's a sequence of sets {0},{1},{0},{1},{0},{1}... It doesn't matter which way these are ordered because there's always...
  2. S

    What is the relationship between limsup and liminf in real analysis?

    Hi, I was just reading through your posts and I thought I understood it, but the last sentence confused me. x is in liminf {E_n} iff every subsequence contains x for all k>=N --- doesn't that mean that you need one ordering for the sequence of sets? Otherwise what does k>=N mean?
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