Uniformization properties of ladder systems after forcing with a Suslin tree
Volume 249 / 2020
Fundamenta Mathematicae 249 (2020), 37-45
MSC: Primary 03E05, 03E35; Secondary 03E75.
DOI: 10.4064/fm599-7-2019
Published online: 8 November 2019
Abstract
We will study uniformization and anti-uniformization properties of ladder systems on $\omega _1$ after forcing with a Suslin tree. In particular, we will determine exactly which of these properties are satisfied when we force over a model of ${\rm MA}_{\omega _1}(\mathcal {K})$.
