# A compact subset $Y$ of a topological space $X$ is not necessarily closed. [duplicate]

Possible Duplicate:
Compact sets are closed?

We know that if $X$ is Hausdorff, then a compact subset $Y$ of $X$ must be closed. Without the assumption, this claim is not true. But can you come up with a counterexample?

-
Do you know any non-Hausdorff spaces? –  Zev Chonoles Jan 5 '13 at 3:30