4 I know that every nonempty Hausdorff compact space with no isolated points is uncountable, so I was wondering if we could substitute the nonempty Hausdorff part with it being infinite. general-topology share | cite | improve this question asked yesterday Ryunaq 135 6 add a comment  | 4 I know that every nonempty Hausdorff compact space with no isolated points is uncountable, so I was wondering if we could substitute the nonempty Hausdorff part with it being infinite. general-topology share | cite | improve this question asked yesterday Ryunaq 135 6 add a comment  | 4 4 4 I know that every nonempty Hausdorff compact space with no isolated points is uncountable, so I was wondering if we could substitute the nonempty Hausdorff part with it being infinite. general-topology share | cite | improve this question as...