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REMARKS ON CONVERGENCE OF MORLEY SEQUENCES
Published online by Cambridge University Press: 04 April 2023
Abstract
We refine results of Gannon [6, Theorem 4.7] and Simon [22, Lemma 2.8] on convergence of Morley sequences. We then introduce the notion of eventual$NIP$, as a property of a model, and prove a variant of [15, Corollary 2.2]. Finally, we give new characterizations of generically stable types (for countable theories) and reinforce the main result of Pillay [17] on the model-theoretic meaning of Grothendieck’s double limit theorem.
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- © The Author(s), 2023. Published by Cambridge University Press on behalf of The Association for Symbolic Logic
Footnotes
Dedicated to the memory of my first teacher Fatemeh Mardani
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