Finite Space that is Not Normal Is there any finite space that is not normal? By "normal", I refer to a space in which disjoint closed sets can be separated by disjoint open sets.

You can take $\{a,b,c\}$ with open sets $\emptyset$, $\{b,c\}$, $\{a,c\}$, $\{c\}$, $\{a,b,c\}$.
Then $\{a\}, \{b\}$ are disjoint closed sets. The open sets that contain them, $\{a,c\}$, $\{b,c\}$, $\{a,b,c\}$ are never disjoint.
