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Thread: accumilation points

  1. #1
    Junior Member
    Joined
    Jul 2006
    Posts
    73

    accumilation points

    problem 1)
    (a) int (int S) = int S
    (b) cl (cl S) = cl S
    Please write which part of which theorem you have used in each part of your argument.

    problem 2)
    (a)
    Directly from the definition of accumulation point show that
    (S (upside down U) T)' (is a subset of) S' (upside down U) T'

    (b)
    Find sets S and T for which
    (S (upside down U) T)' (is not equal to) S' (upside down U) T'
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  2. #2
    Newbie
    Joined
    Feb 2007
    Posts
    23
    I have no clue how to do this so im not much help, but I have a definition for you and maybe someone else can figure this out by the definition I give.


    Let S is a subset of R. A point x in R is an accumilation point of S if every deleted neighborhood of x contains a point S.
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