The union of two open sets is open (In metric Spaces) – math.stackexchange.com

The union of two open sets is open (In metric Spaces) – math.stackexchange.com

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Let $X$ a set not empty and $(X,d)$ a metric space. Prove he union of two open sets is open. My proof: Let $A_1,A_2$ open sets, we need to prove $A_1\cup A_2$ is open. As $A_1,A_2$ are open set, ...

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