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Published online by Cambridge University Press: 07 June 2024
This chapter introduces the main concepts and the problems to be investigated by the book. In particular, the chapter defines the Largest Suslin Axiom (LSA) and the minimal model of LSA. The chapter summarizes the main theorems to be proved in the book: HOD of the minimal model of LSA satisfies the Generalized Continuum Hypothesis, the Mouse Set Conjecture holds in the minimal model of LSA, the consistency of LSA from large cardinals, the consistency of LSA from strong forcing axioms like PFA.
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