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Math Help - Complex Variables (Analysis) HELPPPPPP

  1. #1
    Junior Member ginafara's Avatar
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    Complex Variables (Analysis) HELPPPPPP

    Can someone PLEASE help me. I cannot get to where I need to go with this and I am ready to scream.

    TIA

    Let S be a non-empty set of complex numbers. Show that if S contains all of its accumulation points, then its compliment is open.


    I know what it means to be an accumulation point and open set, etc... but for some reason.... I can;t figure this out.
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    Quote Originally Posted by ginafara View Post
    Let S be a non-empty set of complex numbers. Show that if S contains all of its accumulation points, then its compliment is open.
    The complement is open if and only if S is closed. Thus, it is sufficient to prove that S is a closed set.
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