Waist of maps measured via Urysohn width

DOI10.1090/tran/8523zbMath1481.51010arXiv2009.04558OpenAlexW3084039226MaRDI QIDQ5023580

Alexey Balitskiy, Aleksandr Berdnikov

Publication date: 24 January 2022

Full work available at URL: https://arxiv.org/abs/2009.04558

zbMATH Keywords

Urysohn width

Mathematics Subject Classification ID

Metric geometry (51F99)

Cites Work

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• Waist of the sphere for maps to manifolds
• Uryson width and volume
• Filling Riemannian manifolds
• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Isoperimetry of waists and concentration of maps
• Dimensions of fibers of generic continuous maps
• Local-to-global Urysohn width estimates
• Lower and upper bounds for the waists of different spaces
• Measurements of Riemannian two-disks and two-spheres
• Systolic inequalities and minimal hypersurfaces
• Size of components of a cube coloring
• Lipshitz maps from surfaces
• Slicing a 2-sphere
• Volumes of balls in Riemannian manifolds and Uryson width

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