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Examples of weak amalgamation classes

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arxiv 1907.09577 v2 pith:G2NRFTQV submitted 2019-07-22 math.LO

Adam Krawczyk , Alex Kruckman , Wies{l}aw Kubiś , Aristotelis Panagiotopoulos This is my paper · ORCID
classification math.LO
keywords amalgamationclassespropertyexamplesfiniteweakcategoricalcofinal
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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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  1. Remarks on weak amalgamation and large conjugacy classes in non-archimedean groups

    math.LO 2019-08 conditional novelty 6.0 of 10

    A generalization of Kechris-Rosendal characterizes comeager diagonal conjugacy classes in arbitrary Polish permutation groups, and ball-preserving groups of ordered ultrametric spaces are shown to have a generic eleme...

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