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Article Dans Une Revue The Journal of Symbolic Logic Année : 2013

Strong tree properties for small cardinals

Résumé

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 ≥ ℕ n , we have (ℕ n , μ )-ITP.

Dates et versions

hal-04124280 , version 1 (09-06-2023)

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Laura Fontanella. Strong tree properties for small cardinals. The Journal of Symbolic Logic, 2013, 78 (1), pp.317-333. ⟨10.2178/jsl.7801220⟩. ⟨hal-04124280⟩
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