论文标题
类别表示的可逆性
Invertibility in Category Representations
论文作者
论文摘要
逆类别是每个形态x在xyx = x and yxy = y的意义上都具有唯一的伪内y的类别。拓扑数据分析和类似地分解类别表示的持久模块通过反类别。本文给出了数值条件，当索引类别是有限的时，可以定义的，这是当通过反向类别的小类别因素表示时表征。
Inverse categories are categories in which every morphism x has a unique pseudo-inverse y in the sense that xyx=x and yxy=y. Persistence modules from topological data analysis and similarly decomposable category representations factor through inverse categories. This paper gives a numerical condition, decidable when the indexing category is finite, characterizing when a representation of a small category factors through an inverse category.
