Examples of weak amalgamation classes

IF 0.4 4区数学 Q4 LOGIC

Mathematical Logic Quarterly Pub Date : 2022-02-11 DOI:10.1002/malq.202100037

Adam Krawczyk, Alex Kruckman, Wiesław Kubiś, Aristotelis Panagiotopoulos

引用次数: 7

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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弱合并类的例子

我们给出了几个遗传类有限结构的例子，它们满足联合嵌入性质和弱合并性质，但不满足共合并性质。这些包括连续大小的有限无向图的类族，以及由于具有可数范畴泛型极限的Pouzet的一个例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Logic Quarterly 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematical Logic Quarterly publishes original contributions on mathematical logic and foundations of mathematics and related areas, such as general logic, model theory, recursion theory, set theory, proof theory and constructive mathematics, algebraic logic, nonstandard models, and logical aspects of theoretical computer science.