*Definition [#q09383c4]
Every infinite subset has a limit point.

*Remark [#x9539b16]
-It is also called Bolzano-Weierstrass property or [[limit point compact]], [[weakly countably compact]].

*Reference [#jba4eec3]
R. Arens and J. Dugundji, ''Remark on the concept of compactness'', Portugaliae Mathematica Vol.9, 3 (1950).