Sh:1191

• Mildenberger, H., & Shelah, S. Higher Miller forcing may collapse cardinals. Preprint.
• 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.
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@article{Sh:1191,
 author = {Mildenberger, Heike and Shelah, Saharon},
 title = {{Higher Miller forcing may collapse cardinals}}
}