Homogeneous changes in cofinalities with applications to HOD

Omer Ben-Neria; Spencer Unger

doi:10.1142/S0219061317500076

Homogeneous changes in cofinalities with applications to HOD

Omer Ben-Neria, Spencer Unger

Research output: Contribution to journal › Article › peer-review

9 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 language	English
Article number	1750007
Journal	Journal of Mathematical Logic
Volume	17
Issue number	2
DOIs	https://doi.org/10.1142/S0219061317500076
State	Published - 1 Dec 2017
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017 World Scientific Publishing Company.

Keywords

HOD
changing cofinality
homogeneity
large cardinals

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10.1142/S0219061317500076

Cite this

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Homogeneous changes in cofinalities with applications to HOD

Abstract

Bibliographical note

Keywords

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