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- W3217282934 abstract "Abstract We study the notion of weak amalgamation in the context of diagonal conjugacy classes. Generalizing results of Kechris and Rosendal, we prove that for every countable structure M , Polish group G of permutations of M , and $$n ge 1$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>≥</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> , G has a comeager n -diagonal conjugacy class iff the family of all n -tuples of G -extendable bijections between finitely generated substructures of M , has the joint embedding property and the weak amalgamation property. We characterize limits of weak Fraïssé classes that are not homogenizable. Finally, we investigate 1- and 2-diagonal conjugacy classes in groups of ball-preserving bijections of certain ordered ultrametric spaces." @default.
- W3217282934 created "2021-12-06" @default.
- W3217282934 creator A5001847528 @default.
- W3217282934 date "2021-11-26" @default.
- W3217282934 modified "2023-09-26" @default.
- W3217282934 title "Remarks on weak amalgamation and large conjugacy classes in non-archimedean groups" @default.
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- W3217282934 doi "https://doi.org/10.1007/s00153-021-00807-1" @default.
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