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arXiv · 2511.06151

Characterizing model structures on finite posets

Kristen Mazur·Angélica M. Osorno·Constanze Roitzheim·Rekha Santhanam·Danika Van Niel·Valentina Zapata Castro
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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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Kristen Mazur, Angélica M. Osorno, Constanze Roitzheim, Rekha Santhanam, Danika Van Niel, Valentina Zapata Castro. 2025-11-08. Characterizing model structures on finite posets. https://arxiv.org/abs/2511.06151

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