The variety of projections of a tree Prikry forcing

Tom Benhamou*, Moti Gitik, Yair Hayut

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We study which κ-distributive forcing notions of size κ can be embedded into tree Prikry forcing notions with κ-complete ultrafilters under various large cardinal assumptions. An alternative formulation - can the filter of dense open subsets of a κ-distributive forcing notion of size κ be extended to a κ-complete ultrafilter.

Original languageAmerican English
Article number2450006
JournalJournal of Mathematical Logic
DOIs
StateAccepted/In press - 2023

Bibliographical note

Publisher Copyright:
© 2024 World Scientific Publishing Company.

Keywords

  • Prikry forcing
  • distributive forcing
  • indescernables
  • intermediate models
  • ultrafilters

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