vix.ing · top · new · best · stats · spec

Superatomic Boolean algebras constructed from strongly unbounded functions

2010/04/27 by Martinez, Juan Carlos, Soukup, Lajos
#03E35 #06E05 #54A25 #54G12 #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1004.4798

Abstract

Using Koszmider's strongly unbounded functions, we show the following consistency result: Suppose that κ,λ are infinite cardinals such that κ+++ ≤ λ, κ^ω1\concatenation $ and _ω2\concatenation $ can be cardinal sequences of superatomic Boolean algebras.

Related