论文标题
使用Simplicial Grotoids扩展Hrushovski的Group-cover对应关系
Extending Hrushovski's groupoid-cover correspondence using simplicial groupoids
论文作者
论文摘要
Hrushovski的建议在[“群体素，想象力和内部封面”中给出，土耳其数学杂志，2012年]，以捕获使用t中t中的简单类固醇的理论t的1个可分析封面的结构。 Haykazyan和Moosa的思想在[使用纯和应用逻辑的Annals，2018年的Annals]中发现了[hrushovski的族裔和均匀性，并扩展，以定义类别的等效性。最后，使用这些新工具研究了几个示例。
Hrushovski's suggestion, given in ["Groupoids, imaginaries and internal covers," Turkish Journal of Mathematics , 2012], to capture the structure of the 1-analysable covers of a theory T using simplicial groupoids definable in T is realized here. The ideas of Haykazyan and Moosa, found in ["Functoriality and uniformity in Hrushovski's groupoid-cover correspondence," Annals of Pure and Applied Logic , 2018] are used, and extended, to define an equivalence of categories. Finally, a couple of examples are studied with these new tools.
