Universal Spaces for R-Trees

DOI10.2307/2153989zbMath0787.54036OpenAlexW4243866771MaRDI QIDQ4032459

Jacek Nikiel, John C. Mayer, Lex G. Oversteegen

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.2307/2153989

zbMATH Keywords

compactificationdendritedendroiddendronuniversal spaces\(\mathbb{R}\)-treearcwise connected metric spacelocal arcwise connectivityunique arcwise connectivity

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Topological characterizations of particular spaces (54F65) Ideal boundary theory for Riemann surfaces (30F25) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Special maps on metric spaces (54E40) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Connected and locally connected spaces (general aspects) (54D05)

Related Items (17)

QUASI-ISOMETRY INVARIANTS AND ASYMPTOTIC CONES ⋮ Groups acting on dendrons ⋮ Dendrite flows ⋮ Group action on local dendrites ⋮ The rank of actions on ${R}$-trees ⋮ Embeddings of Lipschitz-free spaces into \(\ell_1\) ⋮ On Urysohn's \(\mathbb{R}\)-tree ⋮ Embedding theorems for tree-free groups ⋮ Covering \(\mathbb R\)-trees, \(\mathbb R\)-free groups, and dendrites ⋮ On the Dimension of Certain Totally Disconnected Spaces ⋮ The large-scale geometry of locally compact solvable groups ⋮ Constructing free actions on \(\mathbf R\)-trees ⋮ On the continuous gradability of the cut-point orders of \(\mathbb{R} \)-trees ⋮ Spaces of algebraic measure trees and triangulations of the circle ⋮ Limit groups over partially commutative groups and group actions on real cubings ⋮ Pointwise-recurrent maps on uniquely arcwise connected locally arcwise connected spaces ⋮ Asymptotic invariants, complexity of groups and related problems

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