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I know the following statement is true.

$\forall S,$ (S is compact and S$\neq\emptyset \to \max(S)=\sup(S))$

In what else situations can be Max=Sup ?

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    $\begingroup$ When $\sup(S) \in S$. $\endgroup$ Jul 21, 2017 at 2:30
  • $\begingroup$ Oh.. so simple.. Thanks so much. $\endgroup$
    – acubens555
    Jul 21, 2017 at 3:52

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