A model category structure on the category of simplicial multicategories

TL;DR

This paper develops a new model category structure for symmetric simplicial multicategories, extending existing models for simplicial categories, thereby advancing the theoretical framework for higher categorical structures.

Contribution

It introduces a Quillen model structure on symmetric simplicial multicategories, expanding the mathematical tools available for studying complex categorical systems.

Findings

Established a Quillen model category structure for symmetric simplicial multicategories

Extended Bergner's model structure from simplicial categories to multicategories

Provides a foundation for further homotopical and categorical research

Abstract

We establish a Quillen model category structure on the category of symmetric simplicial multicategories. This model structure extends the model structure on simplicial categories due to J. Bergner.