A CONDENSATION PUMP

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A new condensation principle

We generalize ∇(A), which was introduced in [Sch∞], to larger cardinals. For a regular cardinal κ > א0 we denote by ∇κ(A) the statement that A ⊆ κ and for all regular θ > κ, {X ∈ [Lθ[A] ] <κ : X ∩ κ ∈ κ ∧ otp(X ∩ Ord) ∈ Card} is stationary in [Lθ[A] ] . It was shown in [Sch∞] that ∇א1(A) can hold in a set-generic extension of L. We here prove that ∇א2(A) can hold in a set-generic extension of L...

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ژورنال

عنوان ژورنال: Science

سال: 1921

ISSN: 0036-8075,1095-9203

DOI: 10.1126/science.54.1407.608