, Volume 69, Issue 2, pp 161-172

Chang’s conjecture for ℵω

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We establish, starting from some assumptions of the order of magnitude of a huge cardinal, the consistency of (ℵω+1,ℵω)↠(ω10), as well as of some other transfer properties of the type (κ+,κ)↠(α+,α), where κ is singular.