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.

引用

页数：59

共 50 条

[21] Cohomology of Homotopy Colimits of Simplicial Sets and Small Categories
Cegarra, Antonio M.
MATHEMATICS, 2020, 8 (06)
[22] Restriction categories III: colimits, partial limits and extensivity
Cockett, Robin
Lack, Stephen
MATHEMATICAL STRUCTURES IN COMPUTER SCIENCE, 2007, 17 (04) : 775 - 817
[23] Restriction categories as enriched categories
Cockett, Robin
Garner, Richard
THEORETICAL COMPUTER SCIENCE, 2014, 523 : 37 - 55
[24] PRESENTATIONS AND ALGEBRAIC COLIMITS OF ENRICHED MONADS FOR A SUBCATEGORY OF ARITIES
Lucyshyn-Rright, Rory B. B.
Parker, Jason
THEORY AND APPLICATIONS OF CATEGORIES, 2022, 38 : 1434 - 1484
[25] Flat vs. filtered colimits in the enriched context
Lack, Stephen
Tendas, Giacomo
ADVANCES IN MATHEMATICS, 2022, 404
[26] CHARACTERIZATION OF LAWVERE REGULAR CATEGORIES WITH EXACT FILTERED COLIMITS AND GENERATORS
IONITA, C
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 1982, 27 (01): : 43 - 59
[27] Enriched model categories and presheaf categories
Guillou, Bertrand J.
May, J. Peter
NEW YORK JOURNAL OF MATHEMATICS, 2020, 26 : 37 - 91
[28] Internal Enriched Categories
Enrico Ghiorzi
Applied Categorical Structures, 2022, 30 : 947 - 968
[29] ENRICHED INDEXED CATEGORIES
Shulman, Michael
THEORY AND APPLICATIONS OF CATEGORIES, 2013, 28 : 616 - 695
[30] Grothendieck Enriched Categories
Imamura, Yuki
APPLIED CATEGORICAL STRUCTURES, 2022, 30 (05) : 1017 - 1041

← 1 2 3 4 5 →