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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2301.07801 |
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| _version_ | 1866917216074596352 |
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| author | Guetta, Léonard Moser, Lyne Sarazola, Maru Verdugo, Paula |
| author_facet | Guetta, Léonard Moser, Lyne Sarazola, Maru Verdugo, Paula |
| contents | We develop new techniques for constructing model structures from a given class of cofibrations, together with a class of fibrant objects and a choice of weak equivalences between them. As a special case, we obtain a more flexible version of the classical right-transfer theorem in the presence of an adjunction. Namely, instead of lifting the classes of fibrations and weak equivalences through the right adjoint, we now only do so between fibrant objects, which allows for a wider class of applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_07801 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fibrantly-transferred model structures Guetta, Léonard Moser, Lyne Sarazola, Maru Verdugo, Paula Algebraic Topology Category Theory 18N40, 55U35, 18N10 We develop new techniques for constructing model structures from a given class of cofibrations, together with a class of fibrant objects and a choice of weak equivalences between them. As a special case, we obtain a more flexible version of the classical right-transfer theorem in the presence of an adjunction. Namely, instead of lifting the classes of fibrations and weak equivalences through the right adjoint, we now only do so between fibrant objects, which allows for a wider class of applications. |
| title | Fibrantly-transferred model structures |
| topic | Algebraic Topology Category Theory 18N40, 55U35, 18N10 |
| url | https://arxiv.org/abs/2301.07801 |