This proof is kinda difficult?
An open set G is called regular if G = int(G(with line over top)). Find an open set that is not regular.
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An open set G is called regular if G = int(G(with line over top)). Find an open set that is not regular.
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Here's an example: (1,2)U(2,3). The closure is [1,3], so the interior of the closure is (1,3), which is not the same as the original set since it includes 2.