唯一因子分解系统的Grothendieck拓扑
Grothendieck topologies from unique factorisation systems
摘要：
这项工作提出了一种方法来关联一个Grothendieck网站结构的类别赋予一个独特的因子分解系统的箭头。特别是这恢复了Zagliki和Etale拓扑和其他有关Voevodsky的CD结构。由于唯一的因式分解系统在代数几何之外也很常见，因此构造适用于一些新的上下文，其中它与以其他方式定义的已知结构相关。本文详细介绍了代数几何的情况和草图只有其他方面。
英文摘要：
This work presents a way to associate a Grothendieck site structure to a category endowed with a unique factorisation system of its arrows. In particular this recovers the Zariski and Etale topologies and others related to Voevodsky's cd-structures. As unique factorisation systems are also frequent outside algebraic geometry, a construction applies to some new contexts, where it is related with known structures defined otherwise. The paper details algebraic geometrical situations and sketches only the other contexts.
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