Preprint / Version 0

Characterizing model structures on finite posets

Authors

  • Kristen Mazur
  • Angélica M. Osorno
  • Constanze Roitzheim
  • Rekha Santhanam
  • Danika Van Niel
  • Valentina Zapata Castro

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.

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Posted

2025-11-08