# On Gromov's Waist of the Sphere Theorem

## TL;DR

This paper provides a comprehensive and detailed proof of Gromov's waist of the sphere theorem, clarifying its mathematical foundations and ensuring rigorous understanding of the theorem.

## Contribution

It offers the first complete and detailed proof of Gromov's waist of the sphere theorem, enhancing clarity and accessibility for researchers.

## Key findings

- Complete proof of Gromov's waist of the sphere theorem
- Clarification of the theorem's mathematical details
- Strengthened understanding of geometric measure theory

## Abstract

The goal of this paper is to give a detailed and complete proof of M. Gromov's waist of the sphere theorem.