半撤回和拉姆齐财产的新视角

DANA BARTOŠOVÁ, LYNN SCOW
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引用次数: 0

摘要

我们研究了两个一阶结构(通常是不同的符号)之间的半回折概念,这个概念是由第二位作者提出的,是拉姆齐性质和广义不可辨序列之间的联系。我们通过一个新的视角来研究半缩回,建立了拉姆齐性质和有限拉姆齐度在相当普遍的条件下的转移,这些条件是最优的,正如反例所证明的那样。最后,我们将半抽象与范畴论中的前连接概念进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A NEW PERSPECTIVE ON SEMI-RETRACTIONS AND THE RAMSEY PROPERTY

We investigate the notion of a semi-retraction between two first-order structures (in typically different signatures) that was introduced by the second author as a link between the Ramsey property and generalized indiscernible sequences. We look at semi-retractions through a new lens establishing transfers of the Ramsey property and finite Ramsey degrees under quite general conditions that are optimal as demonstrated by counterexamples. Finally, we compare semi-retractions to the category theoretic notion of a pre-adjunction.

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