Directional derivatives and higher order chain rules for abelian functor calculus

K Bauer, B Johnson, C Osborne, E Riehl… - Topology and its …, 2018 - Elsevier
In this paper, we consider abelian functor calculus, the calculus of functors of abelian
categories established by the second author and McCarthy. We carefully construct a …

A variant of a Dwyer-Kan theorem for model categories

B Chorny, D White - arXiv preprint arXiv:1805.05378, 2018 - arxiv.org
If all objects of a simplicial combinatorial model category\cat A are cofibrant, then there
exists the homotopy model structure on the category of small functors $\sS^{\cat A} $, where …