Brown representability for directed graphs

Fuente: arXiv
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Main Authors: McGuirk, Zachary, Park, Byungdo
Format: Preprint
Published: 2020
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_version_ 1866915205559091200
author McGuirk, Zachary
Park, Byungdo
author_facet McGuirk, Zachary
Park, Byungdo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2003_07426
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Brown representability for directed graphs
McGuirk, Zachary
Park, Byungdo
Category Theory
Algebraic Topology
Combinatorics
55P99, 05C20
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.
title Brown representability for directed graphs
topic Category Theory
Algebraic Topology
Combinatorics
55P99, 05C20
url https://arxiv.org/abs/2003.07426