On changing cofinality of partially ordered sets

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Proof. Let us prove (2). Suppose that κ 0 < κ 1 < ... < κ n ... sequence of cardinals such that for each n < ω (n < ω) is an increasing • there is an increasing sequence of measurable cardinals 〈κ nm | m < ω〉 with limit κ n Assume that κ n < κ n+1,0 for each n < ω. Let κ = ⋃ n
Force now a new ω sequence to each of ∏ m
Page 1 and 2: On changing cofinality of partially
Page 3 and 4: as K V -the one computed in V . Jus
Page 5 and 6: It is a subset of P V (A n ) consis
Page 7: Consider (again in V ) the followin
Page 11 and 12: Now, for each α ∈ [κ, κ + ), w
Page 13 and 14: 3. the sequence 〈ν 0 , ν 1 , ..
Page 15 and 16: 2. n < m implies a n (q) ⊆ a m (q
Page 17 and 18: I.e. it is the set of all elements
Page 19 and 20: 4. β ∈ j ≤l,≤n (a 0 (q)) \ a
Page 21 and 22: 1. for every n, 0 < n < ω, [f p(n)
Page 23 and 24: Definition 4.18 Let 〈η, T (⃗p)
Page 25 and 26: Proof. Let σ be a statement and
Page 27 and 28: Lemma 4.24 〈P, ≤ 〉 preserves

On changing cofinality of partially ordered sets

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