An example of the non-existence of coequalizers in the category of the A$_{\infty}$-categories
Year: 2026
Type: preprint
Abstract: We prove that the categories of strictly unital (resp.\ non unital) A$_{\infty}$-algebras and A$_{\infty}$-categories, with strictly unital (resp.\ non unital) A$_{\infty}$-morphisms and A$_{\infty}$-functors have no coequalizers.
Source: arXiv (Cornell University)
Author: Ornaghi, Mattia
Institution: University of Milan
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220952260