# $KC$-spaces and $US$-spaces.

A topological space is called a $US$-space provided that each convergent sequence has a unique limit.

A topological space is called a $KC$-space provided that every compact subset is closed.

So Hausdorff spaces imply $KC$-spaces and $KC$-spaces imply $US$-spaces.

I would like to know:

Is there an example that shows $US$-space does not imply $KC$-space?