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    • CommentAuthorWill Jagy
    • CommentTimeNov 7th 2010 edited
     
    I voted to close
    http://mathoverflow.net/questions/45205/sinn-subsequence-limits-set
    primarily because I was annoyed at being asked to participate in a classroom challenge, the professor has some pedagogical purpose in getting the kids to struggle with this.

    But there was a recent similar thing on cos( n!) or the like, so I thought I would also mention it here.

    The book by Munkres discusses compactness, limit point compactness, and sequential compactness. For homework we were told to finish the proof that the product of two compact spaces was compact, analogous for the other two notions. I couldn't get the middle one, the professor had accidentally asked for a proof of a false statement. He was really happy with me, everyone else proved it. Anyway, educational, you see, though not intentional.

    EDIT: well, it seems to be gone. The comment before mine suggested math.stackexchange, I suggested the kid work on it a while.
  1.  

    This question is much easier; I agree that it belongs on math.SE and accordingly I gave a hint there without mentioning the main part of the argument.

  2.  

    Yeah, this problem is definitely more appropriate for math.SE .