The boundary of a set is subset of the boundary of the closure of the set. – math.stackexchange.com

The boundary of a set is subset of the boundary of the closure of the set. – math.stackexchange.com

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I'm trying to prove that in a normed vector space the boundary of a set A is a subset of the boundary of the closure of A. I've been using the definition of boundary and concluded that if $x\in ...

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