Local-to-global Urysohn width estimates

DOI10.1515/crelle-2021-0047zbMath1493.53061arXiv2008.07718OpenAlexW3193814274MaRDI QIDQ2054210

Aleksandr Berdnikov, Alexey Balitskiy

Publication date: 1 December 2021

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.07718

zbMATH Keywords

metric simplicial complexesglobal Urysohn \(d\)-widthlocally nearly one-dimensionalone-dimensional width

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Geodesics in global differential geometry (53C22) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (1)

Waist of maps measured via Urysohn width

Cites Work

• Uryson width and volume
• Filling Riemannian manifolds
• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Lipshitz maps from surfaces
• Volumes of balls in Riemannian manifolds and Uryson width
• Unnamed Item

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