Well-quasi-ordering and Embeddability of Relational Structures

Order Pub Date : 2024-04-03 DOI:10.1007/s11083-024-09664-y
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Abstract

At the end of the forties, Fraïssé, following Cantor, Hausdorff and Sierpinski, highlighted the role of the embeddability quasi-order in the theory of relations. Since then, many results illustrating this role have been obtained (a large account was included in Fraïssé’s book Theory of Relations). In this paper, I present a selection of results centered on the notion of well-quasi-order (wqo). I mention several problems on wqo and hereditary classes of relational structures; some of these problems go back to the seventies.

关系结构的井式排序和可嵌入性
摘要 四十年代末,弗拉伊塞继康托尔、豪斯多夫和西尔平斯基之后,强调了可嵌入性准阶在关系理论中的作用。从那时起,人们获得了许多说明这一作用的结果(弗拉伊塞的《关系理论》一书中有大量论述)。在这篇论文中,我将介绍以良好准阶(wqo)概念为中心的部分结果。我提到了几个关于 wqo 和关系结构遗传类的问题;其中一些问题可以追溯到七十年代。
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