Examples of weak amalgamation classes
Logic
2021-07-14 v2
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.
Keywords
Cite
@article{arxiv.1907.09577,
title = {Examples of weak amalgamation classes},
author = {Adam Krawczyk and Alex Kruckman and Wiesław Kubiś and Aristotelis Panagiotopoulos},
journal= {arXiv preprint arXiv:1907.09577},
year = {2021}
}
Comments
Some additions and tiny corrections; 15 pages