Groups of homeomorphisms of the line and the circle. Topological characteristics and metric invariants

DOI10.1070/RM2004v059n04ABEH000758zbMath1073.54018OpenAlexW2010006398MaRDI QIDQ4654286

L. A. Beklaryan

Publication date: 3 March 2005

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2004v059n04abeh000758

zbMATH Keywords

circlegrowthcharacterinvariant measurelineamenable groupTits alternativesemiconjugacygroup of homeomorphismsminimal setprojectively invariant measure

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Transformation groups and semigroups (topological aspects) (54H15) Dynamical systems involving maps of the circle (37E10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Group actions on manifolds and cell complexes in low dimensions (57M60) Dynamical systems involving maps of the interval (37E05) Ergodic theory (37A99) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

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