Cofibrantly generated model structures for functor calculus
Algebraic Topology
2025-11-05 v3 Category Theory
Abstract
Model structures for many different kinds of functor calculus can be obtained by applying a theorem of Bousfield to a suitable category of functors. In this paper, we give a general criterion for when model categories obtained via this approach are cofibrantly generated. Our examples recover the homotopy functor and -excisive model structures of Biedermann and R\"ondigs, with different proofs, but also include a model structure for the discrete functor calculus of Bauer, Johnson, and McCarthy.
Cite
@article{arxiv.2304.12954,
title = {Cofibrantly generated model structures for functor calculus},
author = {Lauren Bandklayder and Julia E. Bergner and Rhiannon Griffiths and Brenda Johnson and Rekha Santhanam},
journal= {arXiv preprint arXiv:2304.12954},
year = {2025}
}
Comments
41 pages, final version accepted to Algebraic and Geometric Topology