论文标题
亲类别的简单模型结构
Simplicial model structures on pro-categories
论文作者
论文摘要
我们描述了一种在索引和亲类别上构建简单模型结构的方法。我们的方法对于构建已知模型类别的“涂鸦”类似物特别有用。我们的构造迅速恢复了莫雷尔（Morel）的Pro-P空间模型结构和Quick的模型结构，用于涂鸦空间，但我们将证明它也可以应用于构建许多有趣的新模型结构。此外，我们研究了我们方法的一些一般特性，例如其功能行为及其与Bousfield定位的关系。我们将构造与附录中的索引和亲类别的无限类别方法进行了比较。
We describe a method for constructing simplicial model structures on ind- and pro-categories. Our method is particularly useful for constructing "profinite" analogues of known model categories. Our construction quickly recovers Morel's model structure for pro-p spaces and Quick's model structure for profinite spaces, but we will show that it can also be applied to construct many interesting new model structures. In addition, we study some general properties of our method, such as its functorial behaviour and its relation to Bousfield localization. We compare our construction to the infinity-categorical approach to ind- and pro-categories in an appendix.
