Homogeneous changes in cofinalities with applications to HOD

作者:Ben Neria Omer*; Unger Spencer
来源:Journal of Mathematical Logic, 2017, 17(2): UNSP 1750007.
DOI:10.1142/S0219061317500076

摘要

We present a new technique for changing the coflnality of large cardinals using homogeneous forcing. As an application we show that many singular cardinals in V can be measurable in HOD. We also answer a related question of Cummings, Friedman and Golshani by producing a model in which every regular uncountable cardinal theta in V is theta(+)-supercompact in HOD.

  • 出版日期2017-12