Characterizing model structures on finite posets
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866918371920969728 |
|---|---|
| author | Mazur, Kristen Osorno, Angélica M. Roitzheim, Constanze Santhanam, Rekha Van Niel, Danika Castro, Valentina Zapata |
| author_facet | Mazur, Kristen Osorno, Angélica M. Roitzheim, Constanze Santhanam, Rekha Van Niel, Danika Castro, Valentina Zapata |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06151 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterizing model structures on finite posets Mazur, Kristen Osorno, Angélica M. Roitzheim, Constanze Santhanam, Rekha Van Niel, Danika Castro, Valentina Zapata Algebraic Topology Combinatorics Category Theory 18N40, 18B35, 55P99 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. |
| title | Characterizing model structures on finite posets |
| topic | Algebraic Topology Combinatorics Category Theory 18N40, 18B35, 55P99 |
| url | https://arxiv.org/abs/2511.06151 |