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Mathematics

This circle is for math enthusiasts to learn and share knowledge of different branches of mathematics, including some cutting-edge mathematics.

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纤维范畴
在讨论所谓的纤维范畴前,我们先了解什么是强笛卡尔态射。 令 $p : \mathcal{S} \to \mathcal{C}$ 为一个 $\mathcal{C}$上的范畴 。给定一个对象 $x \in \mathcal{S}$ 其满足 $p(x) = U$ ,并且给定一个态射 $f : V \to ...
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Category
A category $\mathcal{C}$ consists of the following data: A class of objects, denoted by ${\rm{Ob}}(\mathcal{C})$. To each pair of objects $A, B$, a se ...
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范畴上的范畴
令 $\mathcal{C}$ 为一个 范畴 。我们称任意一个函子 $p : \mathcal{S} \to \mathcal{C}$ 为一个 $\mathcal{C}$ 上的范畴 。 ...
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Groupoid
A groupoid is a category where every morphism is an isomorphism. ...
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这个圈子用于讨论范畴论相关的话题和知识,包括范畴论下的多个方向,如高阶范畴、无穷范畴等,欢迎对范畴论感兴趣的加入!

Created at2024-11-30 18:32
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