Note on local-to-global properties of BLD-mappings

DOI10.1090/proc12711zbMath1341.30020arXiv1406.0320OpenAlexW3100721220MaRDI QIDQ2789858

Rami Luisto

Publication date: 2 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0320

zbMATH Keywords

covering mapbounded length distortionBLD-mappingsLipschitz quotient-mappingsLQ-mappings

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Low-dimensional topology of special (e.g., branched) coverings (57M12) Quasiconformal mappings in metric spaces (30L10)

Related Items (4)

A characterization of BLD-mappings between metric spaces ⋮ Monodromy representations of completed coverings ⋮ On BLD-mappings with small distortion ⋮ A Newman property for BLD-mappings

Cites Work

• Flat forms, bi-Lipschitz parametrizations, and smoothability of manifolds
• Elliptic equations and maps of bounded length distortion
• On a method of Holopainen and Rickman
• Geometric branched covers between generalized manifolds
• Affine approximation of Lipschitz functions and nonlinear quotients
• Invariants conformes globaux sur les variétés riemanniennes
• Closed BLD-elliptic manifolds have virtually abelian fundamental groups
• Branched coverings after Fox
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
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