从分类的观点来看,不稳定的独立性

IF 0.6 2区 数学 Q2 LOGIC
Mark Kamsma , Jiří Rosický
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引用次数: 0

摘要

我们给出了局部有限可表示范畴和更一般的局部有限多可表示范畴中简单和类nsop1独立关系的范畴论构造。我们通过识别一类单态M的性质来做到这一点,使得由M中的单态组成的回拉平方形成期望的独立关系。这将M. Lieberman、S. Vasey和第二作者利用有效并或元胞平方构造稳定独立关系的范畴理论推广到不稳定环境。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Unstable independence from the categorical point of view
We give a category-theoretic construction of simple and NSOP1-like independence relations in locally finitely presentable categories, and in the more general locally finitely multipresentable categories. We do so by identifying properties of a class of monomorphisms M such that the pullback squares consisting of morphisms in M form the desired independence relation. This generalizes the category-theoretic construction of stable independence relations using effective unions or cellular squares by M. Lieberman, S. Vasey and the second author to the unstable setting.
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来源期刊
CiteScore
1.40
自引率
12.50%
发文量
78
审稿时长
200 days
期刊介绍: The journal Annals of Pure and Applied Logic publishes high quality papers in all areas of mathematical logic as well as applications of logic in mathematics, in theoretical computer science and in other related disciplines. All submissions to the journal should be mathematically correct, well written (preferably in English)and contain relevant new results that are of significant interest to a substantial number of logicians. The journal also considers submissions that are somewhat too long to be published by other journals while being too short to form a separate memoir provided that they are of particular outstanding quality and broad interest. In addition, Annals of Pure and Applied Logic occasionally publishes special issues of selected papers from well-chosen conferences in pure and applied logic.
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