Left and right Bousfield localization on lattices
Fuente:
arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866909897897017344 |
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| author | Bravo, Andrés Carnero Goyal, Shuchita Alberga, Sofía Martínez Ng, Cherry Roitzheim, Constanze Tolosa, Daniel |
| author_facet | Bravo, Andrés Carnero Goyal, Shuchita Alberga, Sofía Martínez Ng, Cherry Roitzheim, Constanze Tolosa, Daniel |
| contents | The key information of a model category structure on a poset is encoded in a transfer system, which is a combinatorial gadget, originally introduced to investigate homotopy coherence structures in equivariant homotopy theory. We describe how a transfer system associated with in a model structure on a lattice is affected by left and right Bousfield localization and provide a minimal generating system of morphisms which are responsible for the change in model structure. This leads to new concrete insights into the behavior of model categories on posets in general. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07952 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Left and right Bousfield localization on lattices Bravo, Andrés Carnero Goyal, Shuchita Alberga, Sofía Martínez Ng, Cherry Roitzheim, Constanze Tolosa, Daniel Algebraic Topology Combinatorics Category Theory 18N40, 18B35, 55P99 The key information of a model category structure on a poset is encoded in a transfer system, which is a combinatorial gadget, originally introduced to investigate homotopy coherence structures in equivariant homotopy theory. We describe how a transfer system associated with in a model structure on a lattice is affected by left and right Bousfield localization and provide a minimal generating system of morphisms which are responsible for the change in model structure. This leads to new concrete insights into the behavior of model categories on posets in general. |
| title | Left and right Bousfield localization on lattices |
| topic | Algebraic Topology Combinatorics Category Theory 18N40, 18B35, 55P99 |
| url | https://arxiv.org/abs/2511.07952 |