Connectedness properties of limit sets

DOI10.1090/S0002-9947-99-02388-0zbMath0938.20033OpenAlexW1559525032WikidataQ125367973 ScholiaQ125367973MaRDI QIDQ4252946

Brian H. Bowditch

Publication date: 23 June 1999

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02388-0

zbMATH Keywords

convergence groupsboundarieslimit setsfinitely presented groupsends of groupsrelatively hyperbolic groupsperipheral subgroupscontinuaparabolic fixed pointsglobal cut pointsloxodromic subgroups

Mathematics Subject Classification ID

Geometric group theory (20F65) Continua and generalizations (54F15) Hyperbolic groups and nonpositively curved groups (20F67) Connected and locally connected spaces (general aspects) (54D05)

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Semistability of graph products, Relatively hyperbolic groups with free abelian second cohomology, Diagram rigidity for geometric amalgamations of free groups., Ends of Schreier graphs of hyperbolic groups, Semistability of cubulated groups, Quasi-hyperbolic planes in relatively hyperbolic groups, Right‐angled Coxeter groups with Menger curve boundary, Maps between relatively hyperbolic spaces and between their boundaries, Dehn fillings and elementary splittings, Right-angled Coxeter groups with non-planar boundary, Group actions on dendrites and curves, One-ended subgroups of mapping class groups, Hyperbolic groups with low-dimensional boundary, Detecting free splittings in relatively hyperbolic groups, Peripheral splittings of groups, Locally compact convergence groups and \(n\)-transitive actions., ENDS OF CUSP-UNIFORM GROUPS OF LOCALLY CONNECTED CONTINUA — I, Strong accessibility for hyperbolic groups., Topological mixing in 𝐶𝐴𝑇(-1)-spaces, The conjugacy problem for relatively hyperbolic groups., Quasi-hyperbolic planes in hyperbolic groups, Local cut points and splittings of relatively hyperbolic groups, Boundaries of Dehn fillings, The visual boundary of hyperbolic free-by-cyclic groups, Stable existence of incompressible 3-manifolds in 4-manifolds, Bootstrapping in convergence groups., Relatively hyperbolic groups with semistable peripheral subgroups

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