A model category structure on the category of simplicial categories

TL;DR

This paper establishes a new model category structure on small simplicial categories, defining weak equivalences as a simplicial analogue of category equivalences, facilitating homotopical analysis.

Contribution

It introduces a cofibrantly generated model structure on the category of small simplicial categories, expanding the tools for homotopical and categorical studies.

Findings

Defined weak equivalences as simplicial analogues of category equivalences

Constructed a cofibrantly generated model category structure

Enabled homotopical analysis of simplicial categories

Abstract

In this paper we put a cofibrantly generated model category structure on the category of small simplicial categories. The weak equivalences are a simplicial analogue of the notion of equivalence of categories.