Higher miller forcing may collapse cardinals

Heike Mildenberger, Saharon Shelah

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We show that it is independent whether club-Miller forcing preserves. We show that under \kappa $ ]], club-Miller forcing collapses <![CDATA[ \kappa { to. Answering a question by Brendle, Brooke-Taylor, Friedman and Montoya, we show that the iteration of ultrafilter-Miller forcing does not have the Laver property.

Original languageEnglish
Pages (from-to)1721-1744
Number of pages24
JournalJournal of Symbolic Logic
Volume86
Issue number4
DOIs
StatePublished - 29 Dec 2021

Bibliographical note

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© 2021 Cambridge University Press. All rights reserved.

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