Unitalities and mapping spaces in $A_\infty$-categories
Category Theory
2024-07-09 v1 Symplectic Geometry
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 To\"en and Faonte.
Cite
@article{arxiv.2407.05532,
title = {Unitalities and mapping spaces in $A_\infty$-categories},
author = {Hiro Lee Tanaka},
journal= {arXiv preprint arXiv:2407.05532},
year = {2024}
}