论文标题
富集的托马森模型结构
The enriched Thomason model structure on 2-categories
论文作者
论文摘要
我们证明，富含托马森模型结构的类别允许一种模型结构，该模型结构等于伯格纳模型结构，在简单类别上，为（Infinity，1） - 类别提供了新的模型。一路上，我们在托马森模型结构中的模块和单体上构建模型结构，并证明在小型类别上的任何模型结构具有与Thomason模型结构相同的弱等效性，这不是笛卡尔模型结构。
We prove that categories enriched in the Thomason model structure admit a model structure that is Quillen equivalent to the Bergner model structure on simplicial categories, providing a new model for (infinity,1)-categories. Along the way, we construct model structures on modules and monoids in the Thomason model structure and prove that any model structure on the category of small categories that has the same weak equivalences as the Thomason model structure is not a cartesian model structure.
