Characterizing model structures on finite posets
Algebraic Topology
2026-03-06 v1 Combinatorics
Category Theory
Abstract
Transfer systems on finite posets have recently been gaining traction as a key ingredient in equivariant homotopy theory. Additionally, they also naturally occur in the data of a model structure. We give a complete characterization of all model category structures on a finite lattice, using transfer systems as our main tool, resulting in new connections between abstract homotopy theory and equivariant methods.
Cite
@article{arxiv.2511.06151,
title = {Characterizing model structures on finite posets},
author = {Kristen Mazur and Angélica M. Osorno and Constanze Roitzheim and Rekha Santhanam and Danika Van Niel and Valentina Zapata Castro},
journal= {arXiv preprint arXiv:2511.06151},
year = {2026}
}
Comments
30 pages, comments welcome