# Strong Chang's Conjecture, Semi-Stationary Reflection, Strong Tree Property and Two Cardinal Square Principles

Date:
Monday 14th December 2015 - 11:30 to 12:00
Venue:
INI Seminar Room 1
Abstract:

We prove that the Semi-Stationary Reflection Principle, together with the negation of the Continuum Hypothesis, implies that $\omega_2$ has the Strong Tree Property. Also, we show that SSR implies the negation of $\Box(\lambda, \omega)$ for all regular cardinals $\lambda\geq\omega_2$. This is a joint work with Liuzhen Wu.

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