A model structure on the category of A$_\infty$-categories with strict morphisms
Category Theory
2025-07-01 v1 Algebraic Geometry
Algebraic Topology
Abstract
We prove that the category of (strictly unital) A-categories, linear over a commutative ring , with strict A-morphisms has a cofibrantly generated model structure. In this model structure every object is fibrant and the cofibrant objects have cofibrant morphisms. As a consequence we prove that the semi-free A-categories (resp. resolutions) are cofibrant objects (resp. resolution) in this model structure.
Keywords
Cite
@article{arxiv.2506.22847,
title = {A model structure on the category of A$_\infty$-categories with strict morphisms},
author = {Mattia Ornaghi},
journal= {arXiv preprint arXiv:2506.22847},
year = {2025}
}
Comments
9 pages, 2 figures