Strictly commutative models for E-infinity quasi-categories

TL;DR

This paper demonstrates that E-infinity quasi-categories can be modeled by strictly commutative objects within a larger diagram category, simplifying their structure and linking to prior diagram space research.

Contribution

It introduces a method to replace E-infinity quasi-categories with strictly commutative models in a broader diagram category, extending previous diagram space work.

Findings

E-infinity quasi-categories can be modeled by strictly commutative objects

The approach extends earlier work on diagram spaces

Provides a new perspective on modeling complex categorical structures

Abstract

In this short note we show that E-infinity quasi-categories can be replaced by strictly commutative objects in the larger category of diagrams of simplicial sets indexed by finite sets and injections. This complements earlier work on diagram spaces by Christian Schlichtkrull and the second author.