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math.MGNov 20, 2009
6
citations (OpenAlex)
authors
  • Yashar Memarian
institutions
  • Centre Hospitalier d'Orsay
  • Centre National de la Recherche Scientifique
  • Laboratoire de Mathématiques d'Orsay
  • Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur
  • Université Paris-Sud
arXiv abstractPDF
paper

On Gromov's Waist of the Sphere Theorem

arXiv:0911.3972

Abstract

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

34 pages, 1 figure

Cited by in corpus (6)

  • Convex Equipartitions: The Spicy Chicken Theorem
  • Equipartition of several measures
  • Waist of the sphere for maps to manifolds
  • Borsuk-Ulam type theorems for metric spaces
  • An analogue of Gromov's waist theorem for coloring the cube
  • A Lower Bound on the Waist of Unit Spheres of Uniformly Convex Normed Spaces
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