English

HOD, V and the GCH

Logic 2015-12-22 v1

Abstract

Starting from large cardinals we construct a model of ZFCZFC in which the GCHGCH fails everywhere, but such that GCHGCH holds in its HODHOD. The result answers a question of Sy Friedman. Also, relative to the existence of large cardinals, we produce a model of ZFC+GCHZFC+GCH such that GCHGCH fails everywhere in its HODHOD.

Cite

@article{arxiv.1512.06192,
  title  = {HOD, V and the GCH},
  author = {Mohammad Golshani},
  journal= {arXiv preprint arXiv:1512.06192},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1510.02937

R2 v1 2026-06-22T12:13:54.163Z