Unions and intersections of open sets, Real Analysis II
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Unions and intersections of open sets, Real Analysis II
In this video, we aim to prove a three-part statement about open sets in a metric space. We start by establishing that both the entire metric space and the empty set are always open, ensuring that every metric space has at least two open sets. Next, we demonstrate that any union of open sets, regardless of whether the collection is finite ...
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