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Universal structures in power ℵ1

Published online by Cambridge University Press:  12 March 2014

Alan H. Mekler
Alan H. Mekler*
Affiliation:
Department of Mathematics, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada
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Abstract

It is consistent with ¬ CH that every universal theory of relational structures with the joint embedding property and amalgamation for -(3)-diagrams has a universal model of cardinality ℵ1. For classes with amalgamation for -(4)-diagrams it is consistent that and there is a universal model of cardinality ℵ2.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 55 , Issue 2 , June 1990, pp. 466 - 477
Copyright
Copyright © Association for Symbolic Logic 1990

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References

REFERENCES

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