Journal of Symbolic Logic 55 (2):466-477 (1990)

Abstract
It is consistent with ¬CH that every universal theory of relational structures with the joint embedding property and amalgamation for P --diagrams has a universal model of cardinality ℵ 1. For classes with amalgamation for P --diagrams it is consistent that $2^{\aleph_0} > \aleph_2$ and there is a universal model of cardinality ℵ 2.
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DOI 10.2307/2274640
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References found in this work BETA

On Universal Graphs Without Instances of CH.Saharon Shelah - 1984 - Annals of Pure and Applied Logic 26 (1):75-87.

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Morasses, Square and Forcing Axioms.Charles Morgan - 1996 - Annals of Pure and Applied Logic 80 (2):139-163.

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