Characterizing model structures on finite posets

Mazur, Kristen and Osorno, Angelica M. and Roitzheim, Constanze and Santhanam, Rekha and Van Niel, Danika and Zapata Castro, Valentina (2025) Characterizing model structures on finite posets. [Preprint] (doi:10.48550/arXiv.2511.06151) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:112957)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL: https://arxiv.org/abs/2511.06151

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.

Item Type:	Preprint
DOI/Identification number:	10.48550/arXiv.2511.06151
Refereed:	No
Other identifier:	https://arxiv.org/abs/2511.06151
Name of pre-print platform:	arXiv
Uncontrolled keywords:	algebraic topology; model categories; combinatorics
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA440 Geometry > QA611 Topology Q Science > QA Mathematics (inc Computing science) > QA440 Geometry > QA611 Topology > QA612 Algebraic topology
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	There are no former institutional units.
Depositing User:	Constanze Roitzheim
Date Deposited:	02 Feb 2026 15:12 UTC
Last Modified:	03 Feb 2026 15:57 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/112957 (The current URI for this page, for reference purposes)

University of Kent Author Information

Roitzheim, Constanze.

Creator's ORCID:	https://orcid.org/0000-0003-3065-0672
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