A family of maps with many small fibers

DOI10.1142/S1793525315500053zbMath1309.53039arXiv1402.2856OpenAlexW2963297767MaRDI QIDQ5496335

Hannah Alpert, Lawrence Guth

Publication date: 30 January 2015

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2856

zbMATH Keywords

isoperimetric inequalitywaist inequality

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (2)

Application of waist inequality to entropy and mean dimension ⋮ Eldan's stochastic localization and tubular neighborhoods of complex-analytic sets

Cites Work

• The dimension of almost spherical sections of convex bodies
• Isoperimetry of waists and concentration of maps
• ON GROMOV'S WAIST OF THE SPHERE THEOREM
• Die Brunn‐Minkowskische Ungleichung und ihr Spiegelbild sowie die isoperimetrische Eigenschaft der Kugel in der euklidischen und nichteuklidischen Geometrie. I

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