User blog comment:Deedlit11/Ordinal Notations V: Up to a weakly Mahlo cardinal/@comment-30004975-20171217042147/@comment-30754445-20171217080704

Denis, that is in correct.

ɪω is - by definition - the ωth inaccessible cardinal. This indeed means that the cofinality of ɪω is itself. And in particular, it means that ɪω is most definitely not the limit of ɪ₁, ɪ₂, ɪ₃...