Waist of the sphere for maps to manifolds

DOI10.1016/j.topol.2013.06.005zbMath1282.28003arXiv1102.0647OpenAlexW2031561161MaRDI QIDQ387191

Alexey Volovikov, Roman N. Karasev

Publication date: 20 December 2013

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0647

zbMATH Keywords

compact topological space with a probabilistic Borel measuresphere waist theorem

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Discriminantal varieties and configuration spaces in algebraic topology (55R80)

Related Items (4)

Gromov’s Waist of Non-radial Gaussian Measures and Radial Non-Gaussian Measures ⋮ A parametrized version of the Borsuk–Ulam–Bourgin–Yang–Volovikov theorem ⋮ Lower and upper bounds for the waists of different spaces ⋮ Waist of maps measured via Urysohn width

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homology of the infinite symmetric group
• The genus and the category of configuration spaces
• Braid group cohomologies and algorithm complexity
• Isoperimetry of waists and concentration of maps
• Generalizations of Borsuk-Ulam theorem
• On theorems of Borsuk-Ulam, Kakutani-Yamabe-Yujobô and Dyson. I
• ON GROMOV'S WAIST OF THE SPHERE THEOREM
• Sur les opérations de Steenrod
• Points Multiples D'Une Application et Produit Cyclique Reduit
• Cohomology Operations (AM-50)
• On the Chern classes of the regular representations of some finite groups
• A THEOREM OF BOURGIN-YANG TYPE FOR $ \mathbb{Z}_p^n$-ACTION
• The mod 2 equivariant cohomology algebras of configuration spaces

This page was built for publication: Waist of the sphere for maps to manifolds