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Math Help - Finding interior point and accumulation point

  1. #1
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    Finding interior point and accumulation point

    For the set S = {1,2,3,4} U (5,6), what is
    • an interior point of S?
    • A point S n delS?
    • A point in delS - S
    • An accumulation point of S that is not in S (and a sequence that converges to it)
    • A ball about the point x = 5.03 that is contained in S?
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  2. #2
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    Re: Finding interior point and accumulation point

    Quote Originally Posted by jhh1014 View Post
    For the set S = {1,2,3,4} U (5,6), what is
    • an interior point of S?
    • A point S n delS?
    • A point in delS - S
    • An accumulation point of S that is not in S (and a sequence that converges to it)
    • A ball about the point x = 5.03 that is contained in S?
    What is the definitions of these terms?
    I have never seen delS. What does it mean?

    I will do one for you. The interior is S^o=(5,6)~.

    You must post some efforts.
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  3. #3
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    Re: Finding interior point and accumulation point

    ∂S, is the boundary of S. I think the ∂S is the set {1,2,3,4,5,6}, but I am not sure. Would that make a point in S ∩ ∂S be any of those numbers?
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  4. #4
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    Re: Finding interior point and accumulation point

    Quote Originally Posted by jhh1014 View Post
    ∂S, is the boundary of S. I think the ∂S is the set {1,2,3,4,5,6}, but I am not sure. Would that make a point in S ∩ ∂S be any of those numbers?
    That is completely standard notation. But it is not 'del" it is delta.
    In LaTeX it is [TEX]\delta(S)[/TEX] gives \delta(S).

    Please learn to use LaTeX. On the advanced toolbar the \boxed{\Sigma} gives the [TEX]..[/TEX] wraps .
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