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Strong tree properties for small cardinals

Strong tree properties for small cardinals

Abstract An inaccessible cardinal κ is supercompact when ( κ, λ )-ITP holds for all λ ≥ κ . We prove that if there is a model of ZFC with infinitely many supercompact cardinals, then there is a model of ZFC where for every n ≥ 2 and μ ≥ …