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Model Structures on Finite Total Orders

Balchin, Scott, Ormsby, Kyle, Osorno, Angelica M., Roitzheim, Constanze (2023) Model Structures on Finite Total Orders. Mathematische Zeitschrift, 304 (3). Article Number 40. ISSN 0025-5874. E-ISSN 1432-1823. (doi:10.1007/s00209-023-03287-6) (KAR id:100973)

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We initiate the study of model structures on (categories induced by) lattice posets, a subject we dub homotopical combinatorics. In the case of a finite total order [n], we enumerate all model structures, exhibiting a rich combinatorial structure encoded by Shapiro’s Catalan triangle. This is an application of previous work of the authors on the theory of N∞-operads for cyclic groups of prime power order, along with new structural insights concerning extending choices of certain model structures on subcategories of [n].

Item Type: Article
DOI/Identification number: 10.1007/s00209-023-03287-6
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders: University of Kent (
Depositing User: Constanze Roitzheim
Date Deposited: 19 Apr 2023 08:10 UTC
Last Modified: 04 Sep 2023 13:18 UTC
Resource URI: (The current URI for this page, for reference purposes)

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Roitzheim, Constanze.

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