The metric completion of outer space

DOI10.1007/s10711-019-00451-3zbMath1434.51008arXiv1202.6392OpenAlexW2964225608MaRDI QIDQ2290852

Yael Algom-Kfir

Publication date: 29 January 2020

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.6392

zbMATH Keywords

metric completionouter spaceasymmetric metric spacefree splitting complex

Mathematics Subject Classification ID

Metric geometry (51F99) Automorphisms of infinite groups (20E36)

Related Items (1)

Stable Strata of Geodesics in Outer Space

Cites Work

• The free splitting complex of a free group. I: Hyperbolicity.
• The isometry group of outer space
• Metric properties of outer space.
• Automorphisms of the graph of free splittings
• Asymmetry of outer space.
• Moduli of graphs and automorphisms of free groups
• Degenerations of the hyperbolic space
• The Gromov topology on \({\mathbb{R}}\)-trees
• Generalized metric spaces: Completion, topology, and powerdomains via the Yoneda embedding
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Graphs of actions on \(\mathbf R\)-trees
• Homological stability for automorphism groups of free groups
• Very small group actions on \(\mathbb{R}\)-trees and Dehn twist automorphisms
• The hyperbolicity of the sphere complex via surgery paths
• Actions of higher-rank lattices on free groups
• Group Actions On R-Trees
• IRREDUCIBLE AUTOMORPHISMS OF $F_{n}$ HAVE NORTH–SOUTH DYNAMICS ON COMPACTIFIED OUTER SPACE
• The horoboundary and isometry group of Thurston's Lipschitz metric

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