*Definition [#c46fdebc]
A topological space is called anti-compact if every [[compact]] subset is finite.

*Remark [#d1c36f18]
-It is also called a pseudo-finite space or cf-space.

*Reference [#vcfd7e87]
P. Bankston, ''The total negation of a topological property'', Illinois Journal of Mathematics 23 (1979), 241-52.