内部丰富类别

IF 0.6 4区数学 Q3 MATHEMATICS

Applied Categorical Structures Pub Date : 2022-04-19 DOI:10.1007/s10485-022-09678-w

Enrico Ghiorzi

引用次数: 0

摘要

我们引入了内一元范畴上的富集理论，作为富集标准理论和内范畴标准理论的共同推广。然后，我们将这个新概念与另一个已知的浓缩的概括:索引类别的浓缩进行比较。事实证明，这两个概念是密切相关的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Internal Enriched Categories

We introduce the theory of enrichment over an internal monoidal category as a common generalization of both the standard theories of enriched and internal categories. Then, we contextualize the new notion by comparing it to another known generalization of enrichment: that of enrichment for indexed categories. It turns out that the two notions are closely related.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Applied Categorical Structures 数学-数学

CiteScore

1.30

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Applied Categorical Structures focuses on applications of results, techniques and ideas from category theory to mathematics, physics and computer science. These include the study of topological and algebraic categories, representation theory, algebraic geometry, homological and homotopical algebra, derived and triangulated categories, categorification of (geometric) invariants, categorical investigations in mathematical physics, higher category theory and applications, categorical investigations in functional analysis, in continuous order theory and in theoretical computer science. In addition, the journal also follows the development of emerging fields in which the application of categorical methods proves to be relevant. Applied Categorical Structures publishes both carefully refereed research papers and survey papers. It promotes communication and increases the dissemination of new results and ideas among mathematicians and computer scientists who use categorical methods in their research.