Undistorted fillings in subsets of metric spaces

DOI10.1016/j.aim.2023.109024zbMath1519.53032arXiv2112.11905OpenAlexW4366384740MaRDI QIDQ6042802

Stefan Wenger, Robert Young, Giuliano Basso

Publication date: 4 May 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.11905

zbMATH Keywords

isoperimetric inequalitiesintegral currentsLipschitz connectivityconing inequalitiesisoperimetric subspace distortion

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Geometric embeddings of metric spaces (30L05)

Related Items (2)

Characterizations of higher rank hyperbolicity ⋮ Filling minimality and Lipschitz-volume rigidity of convex bodies among integral current spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Erratum: Lipschitz connectivity and filling invariants in solvable groups and buildings.
• An upper gradient approach to weakly differentiable cochains
• Approximation by polyhedral \(G\) chains in Banach spaces
• Lipschitz connectivity and filling invariants in solvable groups and buildings.
• The distortion dimension of \(\mathbb Q\)-rank 1 lattices
• Local currents in metric spaces
• Higher rank hyperbolicity
• Assouad-Nagata dimension via Lipschitz extensions
• Flat convergence for integral currents in metric spaces
• Finiteness properties of arithmetic groups over function fields.
• Asymptotic dimension
• Filling Riemannian manifolds
• The deformation theorem for flat chains
• Higher order Dehn functions for horospheres in products of Hadamard spaces
• A differentiable structure for metric measure spaces
• Equivalence of geometric and combinatorial Dehn functions.
• Filling functions of arithmetic groups
• Lipschitz chain approximation of metric integral currents
• Morse quasiflats. I
• Lipschitz extensions into jet space Carnot groups
• Gromov hyperbolic spaces and the sharp isoperimetric constant
• Six theorems about injective metric spaces
• Normal and integral currents
• Isoperimetric inequalities of Euclidean type in metric spaces
• The homotopy groups of the integral cycle groups
• Filling inequalities for nilpotent groups through approximations.
• Pushing fillings in right-angled Artin groups
• Note on dimension theory for metric spaces
• A Hurewicz theorem for the Assouad-Nagata dimension
• Asymptotic cones and Assouad-Nagata dimension
• Assouad dimension, Nagata dimension, and uniformly close metric tangents
• Lipschitz 1-connectedness for Some Solvable Lie Groups
• Nilpotent groups without exactly polynomial Dehn function
• Assouad–Nagata Dimension of Wreath Products of Groups
• Currents in metric spaces
• Contact equations, Lipschitz extensions and isoperimetric inequalities

This page was built for publication: Undistorted fillings in subsets of metric spaces