The strong tree property and weak square

2016/01/28 by Hayut, Yair, Unger, Spencer
#03E05 #03E35 #03E55 #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1601.07824

Abstract

We show that it is consistent, relative to ω many supercompact cardinals, that the super tree property holds at ℵ_n for all 2 ≤ n < ω but there are weak square and a very good scale at ℵ_ω.

Related

• The Strong and Super Tree Property at Successors of Singular Cardinals
• The super tree property at the successor of a singular
• Strong Tree Properties for Small Cardinals
• The Tree Property up to ℵ_ω²
• Tree Properties at Successors of Singulars of Many Cofinalities