The coalgebraic enrichment of algebras in higher categories

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:226

Article

Peroux, Maximilien¹ 

[1] Univ Penn, Dept Math, 209 South 33rd St, Philadelphia, PA 19104 USA

关键词: Algebra;    Coalgebra;    Enrichment;    Operads;    infinity-categories;    Presentable;   

DOI  :  10.1016/j.jpaa.2021.106849

来源: Elsevier

【 摘 要 】

We prove that given C a presentably symmetric monoidal infinity-category, and any essentially small infinity-operad O, the infinity-category of O-algebras in Cis enriched, tensored and cotensored over the presentably symmetric monoidal infinity-category of Ocoalgebras in C. We provide a higher categorical analogue of the universal measuring coalgebra. For categories in the usual sense, the result was proved by Hyland, Lopez Franco, and Vasilakopoulou. (C) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

Free