COLIMITS IN ENRICHED ?-CATEGORIES AND DAY CONVOLUTION

被引：0
|
作者：
Hinich, Vladimir [1 ]
机构：
[1] Univ Haifa, Dept Math, Mt Carmel, IL-3498838 Hefa, Israel
来源：
THEORY AND APPLICATIONS OF CATEGORIES | 2023年 / 39卷
关键词：
enriched categories; Day convolution; left-tensored categories;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let M be a monoidal infinity-category with colimits. In this paper we study colimits of M-functors A -> B where B is left-tensored over M and A is an M -enriched category. We prove that the enriched Yoneda embedding Y : A -> PM(A) yields a universal M-functor. In case when A has a certain monoidal structure, the category of enriched presheaves PM(A) inherits the same monoidal structure and the enriched Yoneda embedding acquires the structure of universal monoidal M-functor.
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页数：59
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