*Definition [#a37294c8]
A topological space X is called Bourbaki-compact provided every ultrafilter converges in X.

*Remark [#o0a63ce4]
-See [[ultracompact]].

*Reference [#ace6fab6]
Horst Herrlich, ''Choice principles in elementary toplogy and analysis'', Comment. Math. Univ. Carolinae 38,3(1997) 545-552.