Strong Chang’s Conjecture, Semi-Stationary Reflection, the Strong Tree Property and two-cardinal square principles

Volume 236 / 2017

Víctor Torres-Pérez, Liuzhen Wu Fundamenta Mathematicae 236 (2017), 247-262 MSC: 03E05, 03E30, 03E55. DOI: 10.4064/fm257-5-2016 Published online: 2 December 2016

Abstract

We prove that a strong version of Chang’s Conjecture implies both the Strong Tree Property for $\omega _2$ and the negation of the square principle $\square (\lambda , \omega )$ for every regular cardinal $\lambda \geq \omega _2$.

Authors

  • Víctor Torres-PérezInstitut für Diskrete Mathematik und Geometrie
    TU Wien
    Wiedner Hauptstraße 8/104
    1040 Wien, Austria
    e-mail
  • Liuzhen WuInstitute of Mathematics
    Chinese Academy of Sciences
    East Zhong Guan Cun Road No. 55
    Beijing 100190, China
    e-mail

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