Admissible replacements for simplicial monoidal model categories
Bayindir, O. 
ORCID: 0000-0002-6087-0003 & Chorny, B. (2023).
Admissible replacements for simplicial monoidal model categories.
Algebraic and Geometric Topology, 23(1),
pp. 43-73.
doi: 10.2140/agt.2023.23.43
Abstract
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.
| Publication Type: | Article |
|---|---|
| Additional Information: | © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
| Subjects: | Q Science > QA Mathematics |
| Departments: | School of Science & Technology > Mathematics |
| SWORD Depositor: |
Available under License Creative Commons: Attribution International Public License 4.0.
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