A short proof of the universality of the relative Rezk nerve

TL;DR

This paper provides a concise and conceptual proof demonstrating the universality property of the relative Rezk nerve, an important construction in higher category theory.

Contribution

It offers a simplified, conceptual proof of the universality of the relative Rezk nerve, enhancing understanding of its foundational role.

Findings

Proof of universality of the relative Rezk nerve

Simplification of existing proof techniques

Clarification of conceptual foundations

Abstract

We give a concise, conceptual proof of the universality of the relative Rezk nerve, due to Mazel-Gee.