2 papers
math.AT2025
Brown functors of directed graphs
Hsuan-Yi Liao, Zachary McGuirk, Dang Khoa Nguyen +1
We prove that any digraph Brown functor -- i.e. a contravariant functor from the homotopy category of finite directed graphs to the category of abelian groups, satisfying the trivi…
math.CT2025
Brown representability for directed graphs
Zachary McGuirk, Byungdo Park
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 repre…