论文标题
类别的同源分辨率
Homology of categories via polygraphic resolutions
论文作者
论文摘要
在本文中，我们扩展了Lafont和M {é} Tayer的结果，并证明了一个小类别的聚生物同源性，该类别是根据严格$ω$类别的类别$ω$ cat在其nerve同源性同源性的同种异体上定义的。在此过程中，我们证明了关于民间模型结构的同型构造的一些结果，并推断出一种正式类似Quillen定理A的定理。
In this paper, we extend a result of Lafont and M{é}tayer and prove that the polygraphic homology of a small category, defined in terms of polygraphic resolutions in the category $ω$Cat of strict $ω$-categories, is naturally isomorphic to the homology of its nerve. Along the way, we prove some results on homotopy colimits with respect to the Folk model structure and deduce a theorem which formally resembles Quillen's Theorem A.
