Unitalities and mapping spaces in $A_\infty$-categories

Autor:	Tanaka, Hiro Lee
Rok vydání:	2024
Předmět:	Mathematics - Category Theory Mathematics - Symplectic Geometry
Druh dokumentu:	Working Paper
Popis:	We prove, over any base ring, that the infinity-category of strictly unital A-infinity-categories (and strictly unital functors) is equivalent to the infinity-category of unital A-infinity-categories (and unital functors). We also identify various models for internal homs and mapping spaces in the infinity-categories of dg-categories and of A-infinity--categories, generalizing results of To\"en and Faonte.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.05532 Zobrazit plný text záznamu View this record from Arxiv