Presentably symmetric monoidal ∞–categories are represented by symmetric monoidal model categories
Thomas Nikolaus, Steffen Sagave
Abstract
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Thomas Nikolaus, Steffen Sagave
Abstract
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We prove the theorem stated in the title. More precisely, we show the stronger statement that every symmetric monoidal left adjoint functor between presentably symmetric monoidal infinity-categories is represented by a strong symmetric monoidal left Quillen functor between simplicial, combinatorial and left proper symmetric monoidal model categories.
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We prove the theorem stated in the title. More precisely, we show the stronger statement that every symmetric monoidal left adjoint functor between presentably symmetric monoidal infinity-categories is represented by a strong symmetric monoidal left Quillen functor between simplicial, combinatorial and left proper symmetric monoidal model categories.
Key concepts: Symmetric monoidal category, Closed monoidal category, Mathematics, Enriched category, Functor, Pure mathematics