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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On models $ \equiv \sb{\infty \omega }$ to an uncountable model


Author: Mark Nadel
Journal: Proc. Amer. Math. Soc. 54 (1976), 307-310
DOI: https://doi.org/10.1090/S0002-9939-1976-0392556-9
MathSciNet review: 0392556
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Abstract: It is shown that a model is $ { \equiv _{\infty \omega }}$ to an uncountable model provided there is an uncountable model of its complete theory with respect to some admissible fragment containing a copy of the given model.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0392556-9
Article copyright: © Copyright 1976 American Mathematical Society