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Math Help - complex question

  1. #1
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    complex question

    similarly there is another question i am stuck on.

    Give an example of a subset E of the complex plane which is connected, neither open nor closed, has nonempty interior, and is unbounded.

    I sort of figured out at least for the neither open/closed and unbounded part that perhaps getting the union of a compact set and a non-intersecting open, un-bounded set.

    Any suggestions?
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  2. #2
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    Quote Originally Posted by shaheen7 View Post
    similarly there is another question i am stuck on.

    Give an example of a subset E of the complex plane which is connected, neither open nor closed, has nonempty interior, and is unbounded.

    I sort of figured out at least for the neither open/closed and unbounded part that perhaps getting the union of a compact set and a non-intersecting open, un-bounded set.

    Any suggestions?

    \displaystyle{\{\,z\in\mathbb{C}\,\,;\,\,Re(z)\geq 0\,,\,\,0\leq Im(z)<\pi\,\}

    Tonio
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