Natasha Dobrinen, Sy‐David Friedman
Abstract
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The Main Theorem is the equiconsistency of the following two statements: (1) $\kappa$ is a measurable cardinal and the tree property holds at $\kappa^{++}$; (2) $\kappa$ is a weakly compact hypermeasurable cardinal. From the proof of the
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The Main Theorem is the equiconsistency of the following two statements: (1) $\kappa$ is a measurable cardinal and the tree property holds at $\kappa^{++}$; (2) $\kappa$ is a weakly compact hypermeasurable cardinal. From the proof of the
Key concepts: Successor cardinal, Mathematics, Regular cardinal, Consistency (knowledge bases), Property (philosophy), Tree (set theory), Kappa, Discrete mathematics