Bounded dagger principles

Toshimichi Usuba*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


For an uncountable cardinal κ, let (†)κ be the assertion that every ω1-stationary preserving poset of size ≤κ is semiproper. We prove that (†)ω2 is a strong principle which implies a strong form of Chang's conjecture. We also show that (†)2ω1 implies that NS ω1 is presaturated.

Original languageEnglish
Pages (from-to)266-272
Number of pages7
JournalMathematical Logic Quarterly
Issue number4-5
Publication statusPublished - 2014 Aug
Externally publishedYes

ASJC Scopus subject areas

  • Logic


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