Gromov-Hausdorff limits of closed surfaces

DOI10.1515/agms-2024-0003MaRDI QIDQ6585791

Tobias Dott

Publication date: 12 August 2024

Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)

zbMATH Keywords

surfacesGromov-Hausdorff convergencePeano spacesgeneralized cactoids

Mathematics Subject Classification ID

Continua and generalizations (54F15) Metric geometry (51F99) Global Riemannian geometry, including pinching (53C20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometry IV. Non-regular Riemannian geometry. Transl. from the Russian by E. Primrose
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Intrinsic structure of minimal discs in metric spaces
• Geometric group theory. An introduction
• Curves von 2-manifolds and isotopies
• Monotone transformations of two-dimensional manifolds.
• On sequences and limiting sets.
• Untangling two systems of noncrossing curves
• Hausdorff convergence and universal covers
• Riemannian Geometry
• The limit spaces of two-dimensional manifolds with uniformly bounded integral curvature
• Geometric Group Theory
• An Invitation to Alexandrov Geometry
• Approximating Topological Metrics by Riemannian Metrics
• Geometric Aspects of General Topology
• On 1-Regular Convergence of Sequences of 2-Manifolds
• Partitioning a set
• THE FUNDAMENTAL GROUP OF TWO SPACES WITH A COMMON POINT
• 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
• Polyhedral approximation of metric surfaces and applications to uniformization

Related Items (1)

On the Gromov-Hausdorff limits of compact surfaces with boundary

This page was built for publication: Gromov-Hausdorff limits of closed surfaces