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Uniformization properties of ladder systems after forcing with a Suslin tree

Volume 249 / 2020

Cesar Corral, Paul Szeptycki 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 ${\rm MA}_{\omega _1}(\mathcal {K})$.

Authors

  • Cesar CorralCentro de Ciencias Matemáticas
    UNAM
    Morelia, Mexico
    e-mail
  • Paul SzeptyckiYork University
    Toronto, Canada
    e-mail

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