On the powersets of singular cardinals in hod

Omer Ben-Neria, Moti Gitik, Itay Neeman, Spencer Unger

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that the assertion “There is a singular cardinal κ such that for all x ⊆ κ, HODx does not contain the entire powerset of κ” is equiconsistent with the assertion that there is a cardinal κ such that {o(ν) | ν < κ} is unbounded in κ.

Original languageEnglish
Pages (from-to)1777-1789
Number of pages13
JournalProceedings of the American Mathematical Society
Volume148
Issue number4
DOIs
StatePublished - 2020

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