HIGHER MILLER FORCING MAY COLLAPSE CARDINALS

We show that it is independent whether club $\kappa $ -Miller forcing preserves $\kappa ^{++}$ . We show that under $\kappa ^{ \kappa $ , club $\kappa $ -Miller forcing collapses $\kappa ^{

Saved in:
Bibliographic Details
Published in:The Journal of symbolic logic 2021-12, Vol.86 (4), p.1721-1744
Main Authors: MILDENBERGER, HEIKE, SHELAH, SAHARON
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We show that it is independent whether club $\kappa $ -Miller forcing preserves $\kappa ^{++}$ . We show that under $\kappa ^{ \kappa $ , club $\kappa $ -Miller forcing collapses $\kappa ^{
ISSN:0022-4812
1943-5886
DOI:10.1017/jsl.2021.90