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Toposes Are Adhesive

机译:胶粘剂

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摘要

Adhesive categories have recently been proposed as a categorical foundation for facets of the theory of graph transformation, and have also been used to study techniques from process algebra for reasoning about concurrency. Here we continue our study of adhesive categories by showing that toposes are adhesive. The proof relies on exploiting the relationship between adhesive categories, Brown and Janelidze's work on generalised van Kampen theorems as well as Grothendieck's theory of descent.
机译:最近,已提出将胶粘剂类别作为图转换理论方面的分类基础,并且已将胶粘剂类别用于研究过程代数中的并发推理技术。在这里,我们通过显示姿势是粘合剂来继续对粘合剂类别的研究。证明依赖于利用粘合剂类别之间的关系,Brown和Janelidze在广义van Kampen定理以及Grothendieck的下降理论上的工作。

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