论文标题
m-stet的topotents和topos的点
Idempotents and the points of the topos of M-sets
论文作者
论文摘要
本文的目的是研究有限的单型$ m $ $ m $ setos的点和本地子类别。我们表明，可以使用$ m $的iDempotents对此拓扑的点进行完全分类。我们引入了有关这些观点的ISO类拓扑，这与SGA4中引入的古典拓扑不同。同样，Topos $ m $ - 集的本地化子类别对应于$ m $的所有双面基本理想的集合。
The aim of this paper is to study the points and localising subcategories of the topos of $M$-sets, for a finite monoid $M$. We show that the points of this topos can be fully classified using the idempotents of $M$. We introduce a topology on the iso-classes of these points, which differs from the classical topology introduced in SGA4. Likewise, the localised subcategories of the topos $M$-sets correspond to the set of all two-sided idempotent Ideals of $M$.
