Higher miller forcing may collapse cardinals

Heike Mildenberger; Saharon Shelah

doi:10.1017/jsl.2021.90

Higher miller forcing may collapse cardinals

Heike Mildenberger
, Saharon Shelah

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1721-1744
Number of pages	24
Journal	Journal of Symbolic Logic
Volume	86
Issue number	4
DOIs	https://doi.org/10.1017/jsl.2021.90
State	Published - 29 Dec 2021

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10.1017/jsl.2021.90

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Higher miller forcing may collapse cardinals

Abstract

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