Orientals
Orientals
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东方人
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
R. Steiner
中科院分区：
文献类型：
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作者：
R. Steiner
东方人或定向单形是由Ross Street构建的严格omega-范畴家族。我们证明了东方人范畴同构于链复合体范畴的一个子范畴。这导致了东方人之间的态射的一个非常简单的组合描述。我们还证明了方阵范畴是单纯形范畴在某些表示复形运算的填充运算下的闭包。
The orientals or oriented simplexes are a family of strict omega-categories constructed by Ross Street. We show that the category of orientals is isomorphic to a subcategory of the category of chain complexes. This leads to a very simple combinatorial description of the morphisms between orientals. We also show that the category of orientals is the closure of the category of simplexes under certain filler operations which represent complicial operations.