Examples of weak amalgamation classes

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Mathematical Logic Quarterly 68 (2):178-188 (2022)
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Abstract

We present several examples of hereditary classes of finite structures satisfying the joint embedding property and the weak amalgamation property, but failing the cofinal amalgamation property. These include a continuum‐sized family of classes of finite undirected graphs, as well as an example due to Pouzet with countably categorical generic limit.

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10.1002/malq.202100037

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Games with finitely generated structures.Adam Krawczyk & Wiesław Kubiś - 2021 - Annals of Pure and Applied Logic 172 (10):103016.
Weak saturation and weak amalgamation property.Ivan di Liberti - 2019 - Journal of Symbolic Logic 84 (3):929-936.
Homogenizable structures and model completeness.Ove Ahlman - 2016 - Archive for Mathematical Logic 55 (7-8):977-995.

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