SEGAL ENRICHED CATEGORIES AND APPLICATIONS

被引：0
作者：
Bacard, Hugo, V [1 ]
机构：
[1] UNS, Lab JA Dieudonne, Nice, France
来源：
THEORY AND APPLICATIONS OF CATEGORIES | 2020年 / 35卷
关键词：
Segal categories; enriched categories; homotopy algebras; higher categories; HOMOTOPY-THEORY; DG-CATEGORIES; MODEL;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we develop a theory of Segal enriched categories. Our motivation was to generalize the notion of up-to-homotopy monoid in a monoidal category, introduced by Leinster. Our formalism generalizes the classical theory of Segal categories and extends the theory of categories enriched over a 2-category. We introduce Segal dg-categories which did not exist so far. We show that the homotopy transfer problem for algebras leads directly to a Leinster-Segal algebra.
引用
收藏
页码：1227 / 1267
页数：41
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