Union of infinite open and close sets – math.stackexchange.com

Union of infinite open and close sets – math.stackexchange.com

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Suppose $ \{A_i: i ∈ I\}$ is a collection of clopen sets (i.e., open and closed at the same time), indexed by $I$. Is it true that $$ \bigcup_{i\in I} A_i $$ is closed?

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