Brown representability for directed graphs
Category Theory
2025-03-21 v3 Algebraic Topology
Combinatorics
Abstract
We prove that any contravariant functor from the homotopy category of finite directed graphs to abelian groups satisfying the additivity axiom and the Mayer-Vietoris axiom is representable.
Cite
@article{arxiv.2003.07426,
title = {Brown representability for directed graphs},
author = {Zachary McGuirk and Byungdo Park},
journal= {arXiv preprint arXiv:2003.07426},
year = {2025}
}
Comments
Merged with other work. See arXiv:2503.14865 [math.AT]