论文标题
在结构物种的类别上
On the category of structure species
论文作者
论文摘要
本文的目的是对物体中固有的差异和关系进行数学研究，以及它们所构成的整个结构（即结构的结构），以克劳德·莱维·莱维·斯特劳斯（ClaudeLéviLévi-Strauss）和其他人的结构主义背景为背景。我们的讨论重点是Blanchard对Bourbaki最初提出的结构物种概念的分类重新制定。本文的主要结果断言，可以从其中的结构物种类别重建类别，直至一定的不确定性。该结果是由在Anabelian几何形状的背景下显示的各种重建定理的部分动机。
The purpose of the present paper is to make a mathematical study of the differences and relations among possible structures inherent in an object, as well as of the whole structure constituted by them (i.e., the structure of structures), against the background of the structuralism by Claude Lévi-Strauss and others. Our discussion focuses on Blanchard's categorical reformulation of the notion of structure species introduced originally by Bourbaki. The main result of the present paper asserts that a category can be reconstructed, up to a certain slight indeterminacy, from the category of structure species on it. This result is partially motivated by various reconstruction theorems that have been shown in the context of anabelian geometry.
