All uncountable regular cardinals can be inaccessible in HOD
arXiv:1608.00732
Abstract
Assuming the existence of a supercompact cardinal and an inaccessible above it, we construct a model of ZFC, in which all uncountable regular cardinals are inaccessible in HOD.
arXiv commentA strengthening of the result of this paper is proved by Gitik-Merimovich in "Some applications of Supercompact Extender Based Forcings to HOD " , where they produced a model in which all uncountable regular cardinals are measurable in HOD. arXiv admin note: text overlap with arXiv:1511.04598 by other authors