The algebraic structure of the universal complicial sets
The algebraic structure of the universal complicial sets
复制标题
泛复集的代数结构
DOI：
10.1016/j.jpaa.2012.02.036
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
R. Steiner
中科院分区：
文献类型：
--
作者：
R. Steiner
严格ω-范畴的神经是具有附加结构的单纯集，使其成为所谓的复集，严格ω-范畴实际上等价于复集。神经函子由一系列严格的Ω范畴表示，称为东方范畴，与单纯形相关联。本文对东方人之间的态射作了详细的代数描述。其目的是描述复杂集代数，运营商和方程公理。
The nerve of a strict omega-category is a simplicial set with additional structure, making it into a so-called complicial set, and strict omega-categories are in fact equivalent to complicial sets. The nerve functor is represented by a sequence of strict omega-categories, called orientals, which are associated to simplexes. In this paper, we give a detailed algebraic description of the morphisms between orientals. The aim is to describe complicial sets algebraically, by operators and equational axioms.