*Definition [#l2aefda0] A subset S of a topological space X is called conditionally compact if every infinite subset of S has a limit point. Also known as [[relatively compact]]. *Reference [#e291813c] A. J. Berner, ''Spaces with dense conditionally compact subsets'', Proc. Amer. Math. Soc. Vol.18 No.1 (1981) pp.137-142.