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Presentably symmetric monoidal infinity-categories are represented by symmetric monoidal model categories (1506.01475v3)

Published 4 Jun 2015 in math.AT and math.CT

Abstract: 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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