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Thread: Prove that G is open in space

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    Prove that G is open in space

    Prove that G is open in space
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  2. #2
    Super Member girdav's Avatar
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    Re: Prove that G is open in space

    Take $\displaystyle x\in\overline{G\cap\overline A}$ and let $\displaystyle V$ a neighborhood of $\displaystyle x$. We have $\displaystyle G\cap \overline A\cap V\neq \emptyset$. Let $\displaystyle a \in G\cap \overline A\cap V$. Use the fact that $\displaystyle G\cap V$ is a neighborhood of $\displaystyle a$.
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