vix.ing · top · new · best · stats · spec

Unitalities and mapping spaces in A_∞-categories

2024/07/08 by Tanaka, Hiro Lee
#Category Theory (math.CT) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2407.05532

Abstract

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 Toën and Faonte.

Related