Homotopy theory of simplicial sheaves in completely decomposable topologies
Homotopy theory of simplicial sheaves in completely decomposable topologies
复制标题
完全可分解拓扑中单纯滑轮的同伦理论
DOI：
10.1016/j.jpaa.2009.11.004
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发表时间：
2008
影响因子：
0.8
通讯作者：
V. Voevodsky
中科院分区：
文献类型：
--
作者：
V. Voevodsky
有两种方法来同伦理论的单纯（前）层。一个开发的Joyal和Jardine工程的所有网站，但产生一个模型结构，这是不生成的，即使在情况下层的诺特拓扑空间。另一个由Brown和Gersten开发的模型给出了有限维Noether空间上层的一个很好的模型结构，但并没有扩展到所有的站点。在本文中，我们定义了一类网站的广义版本的布朗-Gersten方法的作品。
There are two approaches to the homotopy theory of simplicial (pre-)sheaves. One developed by Joyal and Jardine works for all sites but produces a model structure which is not finitely generated even in the case of sheaves on a Noetherian topological space. The other one developed by Brown and Gersten gives a nice model structure for sheaves on a Noetherian space of finite dimension but does not extend to all sites. In this paper we define a class of sites for which a generalized version of the Brown–Gersten approach works.