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Proceedings of the American Mathematical Society

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

 

 

A note on model complete models and generic models


Author: Saharon Shelah
Journal: Proc. Amer. Math. Soc. 34 (1972), 509-514
MSC: Primary 02H10
DOI: https://doi.org/10.1090/S0002-9939-1972-0294114-X
MathSciNet review: 0294114
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Abstract: We prove that there are many maximum model complete (= generic) models, and that there exists an (uncountable) theory with no generic models.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0294114-X
Keywords: Generic models, model complete, omitting types, maximal models
Article copyright: © Copyright 1972 American Mathematical Society