Examples of weak amalgamation classes

0556695 - MÚ 2023 RIV DE eng J - Journal Article
Krawczyk, A. - Kruckman, A. - Kubiś, Wieslaw - Panagiotopoulos, A. Z.
Examples of weak amalgamation classes.
Mathematical Logic Quarterly. Roč. 68, č. 2 (2022), s. 178-188. ISSN 0942-5616. E-ISSN 1521-3870
R&D Projects: GA ČR(CZ) GX20-31529X
Institutional support: RVO:67985840
Keywords : generic automorphisms
OECD category: Pure mathematics
Impact factor: 0.3, year: 2022
Method of publishing: Limited access
https://doi.org/10.1002/malq.202100037

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.
Permanent Link: http://hdl.handle.net/11104/0330814