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Singular σ-dense trees

Journal of Symbolic Logic 57 (4):1403-1416 (1992)

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  1. Semimorasses and nonreflection at singular cardinals.Piotr Koszmider - 1995 - Annals of Pure and Applied Logic 72 (1):1-23.
    Some subfamilies of κ, for κ regular, κ λ, called -semimorasses are investigated. For λ = κ+, they constitute weak versions of Velleman's simplified -morasses, and for λ > κ+, they provide a combinatorial framework which in some cases has similar applications to the application of -morasses with this difference that the obtained objects are of size λ κ+, and not only of size κ+ as in the case of morasses. New consistency results involve existence of nonreflecting objects of singular (...)
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