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Math Help - Complex Analysis

  1. #1
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    Complex Analysis

    Prove that the following sets are open:
    1) The left half plane { z: Re z < 0}
    2) The open disk D(z,r) for any z in the Complex set C and r > 0

    Can someone give me hints how to do these questions? I have no idea

    Thanks
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  2. #2
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    Quote Originally Posted by knguyen2005 View Post
    Prove that the following sets are open:
    1) The left half plane { z: Re z < 0}
    2) The open disk D(z,r) for any z in the Complex set C and r > 0

    Can someone give me hints how to do these questions? I have no idea

    Thanks
    What is the definition of open?
    It means for any z_0 in the set there is \epsilon > 0 such that D(z_0,\epsilon) is contained in the set.
    Use that definition.
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