Is there a mistake in wikipedia article on interior? In this wikipedia article about the interior, in the section on the interior operator, it is written that $S^{\circ}=X\setminus(X\setminus\bar{S})$, which can't be true since $X\setminus(X\setminus\bar{S})=\bar{S}$.
I think a correct definition would be $S^{\circ}=X\setminus(\overline{X\setminus{S}})$. Am I right?

Yes, you are right and Wikipedia is wrong.
