Black Boxes

نویسنده

  • Saharon Shelah
چکیده

The non-structure theorems we have discussed in Chapter III rests usually on some freedom on finite sequences and on a kind of order. When our freedom is related to infinite sequences, and to trees, our work is sometimes harder. In particular, we may consider, for λ ≥ χ, χ regular, and φ = φ(x̄0, . . . , x̄α, . . .)α<χ in a vocabulary τ : (∗) For any I ⊆ λ we have a τ–modelMI and sequences āη (for η ∈ λ), where [η ⊳ ν ⇒ āη 6= āν ], lg(āη) = lg(x̄lg(η)), such that for η ∈ λ we have:

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تاریخ انتشار 2008