A Topological Characterization of R-Trees
From MaRDI portal
Publication:3353782
DOI10.2307/2001765zbMath0729.54008OpenAlexW2004052075MaRDI QIDQ3353782
Lex G. Oversteegen, John C. Mayer
Publication date: 1990
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2001765
convex metric\({\mathbb{R}}\)- treecompatible metriclocal arcwise connectednessunique arcwise connectedness
Metric spaces, metrizability (54E35) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Connected and locally connected spaces (general aspects) (54D05) Connections of general topology with other structures, applications (54H99)
Related Items
Asymptotic geometry of the mapping class group and Teichmüller space ⋮ Combinatorial \(\mathbb R\)-trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces. ⋮ On topological properties of metrics defined via generalized ``linking construction ⋮ Arc-smooth generalized universal covering spaces ⋮ On the local structure and the homology of CAT(κ) spaces and euclidean buildings ⋮ Groups acting on tree-graded spaces and splittings of relatively hyperbolic groups. ⋮ On Urysohn's \(\mathbb{R}\)-tree ⋮ Non-nesting actions of Polish groups on real trees. ⋮ Erdos space and homeomorphism groups of manifolds ⋮ On the Dimension of Certain Totally Disconnected Spaces ⋮ Injective metrizability and the duality theory of cubings ⋮ Word calculus in the fundamental group of the Menger curve ⋮ Spaces of algebraic measure trees and triangulations of the circle ⋮ Scaling limits of loop-erased random walks and uniform spanning trees ⋮ Space of signatures as inverse limits of Carnot groups ⋮ Some results on maps that factor through a tree ⋮ Pointwise-recurrent maps on uniquely arcwise connected locally arcwise connected spaces
