- #1
pantin
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Homework Statement
Let S be a set in R^n, is it true that every interior point of 'the closure of S' is in Int S? Justify.
2. Relevant theorem
S^int = {x belongs to S: B(r,x) belongs to S for some r>0}
The closure of S is the union of S and all its bdary points.
The Attempt at a Solution
My answer is yes, but I am not sure how to give a proof, anyone can give a counterexample?