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Two Upper Bounds on Consistency Strength of ¬□ℵω and Stationary Set Reflection at Two Successive ℵn

Two Upper Bounds on Consistency Strength of ¬□ℵω and Stationary Set Reflection at Two Successive ℵn

We give modest upper bounds for consistency strengths for two well-studied combinatorial principles. These bounds range at the level of subcompact cardinals, which is significantly below a κ+-supercompact cardinal. All previously known upper bounds on these principles ranged at the level of some degree of supercompactness. We show that by …