Homogeneous changes in cofinalities with applications to HOD

Omer Ben-Neria, Spencer Unger

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We present a new technique for changing the cofinality 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 in V is +-supercompact in HOD.

Original languageAmerican English
Article number1750007
JournalJournal of Mathematical Logic
Volume17
Issue number2
DOIs
StatePublished - 1 Dec 2017
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2017 World Scientific Publishing Company.

Keywords

  • HOD
  • changing cofinality
  • homogeneity
  • large cardinals

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