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

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Mathematical, Foundational and Computational Aspects of the Higher Infinite

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 $lambdageqomega_2$. This is a joint work with Liuzhen Wu.

This talk is part of the Isaac Newton Institute Seminar Series series.

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