The first measurable cardinal can be the first uncountable regular cardinal at any successor height. - Arthur W. Apter; Ioanna M. Dimitriou; Peter Koepke (Math. Log. Q., 2014)

All uncountable cardinals in the Gitik model are almost Ramsey and carry Rowbottom filters. - Arthur W. Apter; Ioanna M. Dimitriou; Peter Koepke (Math. Log. Q., 2016)