Sh:1191

• Mildenberger, H., & Shelah, S. (2021). Higher Miller forcing may collapse cardinals. J. Symb. Log., 86(4), 1721–1744. DOI: 10.1017/jsl.2021.90 MR: 4362933
• Abstract:
  We show that it is independent whether club-\kappa-Miller forcing preserves \kappa^{++}. We show that under \kappa^{<\kappa} > \kappa, club-\kappa-Miller forcing collapses some cardinal in [\kappa^+,\kappa^{<\kappa}] to \kappa. Answering a question by Brendle, Brooke-Taylor, Friedman and Montoya, we show that the iteration of ultrafilter \kappa-Miller forcing does not have the Laver property.
• Version 2022-03-03 (26p) published version (24p)

@article{Sh:1191,
 author = {Mildenberger, Heike and Shelah, Saharon},
 title = {{Higher Miller forcing may collapse cardinals}},
 journal = {J. Symb. Log.},
 fjournal = {The Journal of Symbolic Logic},
 volume = {86},
 number = {4},
 year = {2021},
 pages = {1721--1744},
 issn = {0022-4812},
 mrnumber = {4362933},
 mrclass = {03E05 (03E04 03E15)},
 doi = {10.1017/jsl.2021.90}
}