Admissible replacements for simplicial monoidal model categories
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2020
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| Acceso en línea: | |
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| _version_ | 1866916543776948224 |
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| author | Bayındır, Haldun Özgür Chorny, Boris |
| author_facet | Bayındır, Haldun Özgür Chorny, Boris |
| contents | Using Dugger's construction of universal model categories, we produce replacements for simplicial and combinatorial symmetric monoidal model categories with better operadic properties. Namely, these replacements admit a model structure on algebras over any given colored operad.
As an application, we show that in the stable case, such symmetric monoidal model categories are classified by commutative ring spectra when the monoidal unit is a compact generator. In other words, they are strong monoidally Quillen equivalent to modules over a uniquely determined commutative ring spectrum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2008_00515 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Admissible replacements for simplicial monoidal model categories Bayındır, Haldun Özgür Chorny, Boris Algebraic Topology Category Theory 55P99, 18M05 Using Dugger's construction of universal model categories, we produce replacements for simplicial and combinatorial symmetric monoidal model categories with better operadic properties. Namely, these replacements admit a model structure on algebras over any given colored operad. As an application, we show that in the stable case, such symmetric monoidal model categories are classified by commutative ring spectra when the monoidal unit is a compact generator. In other words, they are strong monoidally Quillen equivalent to modules over a uniquely determined commutative ring spectrum. |
| title | Admissible replacements for simplicial monoidal model categories |
| topic | Algebraic Topology Category Theory 55P99, 18M05 |
| url | https://arxiv.org/abs/2008.00515 |