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March 14, 2026Proceedings of the American Mathematical Society1 citations

A short proof of the universality of the relative Rezk nerve

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KAKensuke ArakawaBCBastiaan Cnossen

Key Points

  • The study aims to establish a concise proof for the universality of the relative Rezk nerve as proposed by Mazel-Gee.
  • Developed a conceptual framework for proof.
  • Utilized principles from homotopy theory and categorical frameworks.
  • Confirmed the relative Rezk nerve's universality conceptually.
  • Provided a simpler approach compared to previous proofs.

Abstract

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

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Cite This Study

Arakawa et al. (2026) studied this question.

synapsesocial.com/papers/69b4fc1fb39f7826a300ccc6https://doi.org/10.1090/proc/17483
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