2017•Algebraic & Geometric TopologyOpen access

Presentably symmetric monoidal ∞–categories are represented by symmetric monoidal model categories

Thomas Nikolaus, Steffen Sagave

Open full text 42 citations

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.

Open-access reader

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 42 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Symmetric monoidal category, Closed monoidal category, Mathematics, Enriched category, Functor, Pure mathematics

Related papers

Back to paper searchBrowse research topicsOriginal source
Presentably symmetric monoidal ∞–categories are represented by symmetric monoidal model categories — Research Paper | ScholarLens