Lower and upper bounds for the waists of different spaces

DOI10.12775/TMNA.2019.008zbMath1450.28003arXiv1612.06926MaRDI QIDQ2335882

Alfredo Hubard, Roman N. Karasev, Arseniy V. Akopyan

Publication date: 15 November 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.06926

zbMATH Keywords

projective spaceBorsuk-Ulam-Crofton techniqueGromov's waist theoremunit cube sectionwaist-type result

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Hausdorff and packing measures (28A78)

Related Items (8)

On the volume of projections of the cross-polytope ⋮ Gromov’s Waist of Non-radial Gaussian Measures and Radial Non-Gaussian Measures ⋮ Surface Dimension, Tiles, and Synchronizing Automata ⋮ Sweepouts of closed Riemannian manifolds ⋮ Mahler's conjecture for some hyperplane sections ⋮ On the volume of sections of the cube ⋮ Critical central sections of the cube ⋮ Waist of maps measured via Urysohn width

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