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Strong tree properties for small cardinals

  • Laura Fontanella (a1)

Abstract

An inaccessible cardinal κ is supercompact when (κ, λ)-ITP holds for all λκ. 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 ≥ ℕn, we have (ℕn, μ)-ITP.

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