论文标题

封闭类别

Closed categories

论文作者

Valiukevičius, Gintaras

论文摘要

我们正在检查以集合类别开始的封闭类别,并以类别的类别结尾。新颖性是将伴随函子的概念推广到有向图类别中的关节函子。我们已经描述了在什么条件下,我们获得了图形传输的二原料名称映射。图不是类别的实例,但是我们认为,函子联合对的新概念对于分类研究也将变得很重要。作为未来应用程序的一个例子,我们介绍了某些张量产品的关系概念。

We are checking the closed categories beginning with the category of sets and ending with the category of categories. The novelty is a generalizing the notion of adjoint functors to the joint pair of functors in the category of directed graphs. We have described for what condition we get a bijective name mapping for graphs transports. Graphs aren't instances of categories, however we believe that new notion of functors joint pair will become important also for the categorical studies. As an example of future applications we introduce the notion of relator to some tensor product.

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