Pavlov, Dmitri and Scholbach, Jakob (2018) Admissibility and rectification of colored symmetric operads. JOURNAL OF TOPOLOGY, 11 (3). pp. 559-601. ISSN 1753-8416, 1753-8424
Full text not available from this repository.Abstract
We establish a highly flexible condition that guarantees that all colored symmetric operads in a symmetric monoidal model category are admissible, that is, the category of algebras over any operad admits a model structure transferred from the original model category. We also give a necessary and sufficient criterion that ensures that a given weak equivalence of admissible operads admits rectification, that is, the corresponding Quillen adjunction between the categories of algebras is a Quillen equivalence. In addition, we show that Quillen equivalences of underlying symmetric monoidal model categories yield Quillen equivalences of model categories of algebras over operads. Applications of these results include enriched categories, colored operads, prefactorization algebras, and commutative symmetric ring spectra.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HOMOTOPY-THEORY; ALGEBRAS; CATEGORY; MODULES; RESOLUTION; 55P48; 18D50; 18G55; 55U35 (primary); 55P43; 18D20 (secondary) |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Jan 2020 07:57 |
| Last Modified: | 09 Jan 2020 07:57 |
| URI: | https://pred.uni-regensburg.de/id/eprint/13962 |
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