Universal structures in power ℵ1-Reference-Cited by-同舟云学术

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Universal structures in power ℵ1

Published:1990-06 Issue:2 Volume:55 Page:466-477
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Mekler Alan H.

Abstract

AbstractIt 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference5 articles.

1. Almost-disjoint sets the dense set problem and the partition calculus

2. Shelah S. , Universal graphs without instances of CH: revisited, preprint.

3. On universal graphs without instances of CH

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