Classification of the group actions on the real line and circle

DOI10.1090/S1061-0022-08-00999-0zbMath1209.37009OpenAlexW2055024432MaRDI QIDQ3525229

No author found.

Publication date: 12 September 2008

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-08-00999-0

zbMATH Keywords

circlelineactionsemiconjugacygroup of homeomorphismsproximaldistal

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Dynamical systems involving maps of the circle (37E10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (13)

Groups acting on dendrons ⋮ Pointwise recurrent one-dimensional flows ⋮ Group action on local dendrites ⋮ Symmetric random walks on \(\mathrm{Homeo}^+ (\mathbb{R})\) ⋮ Circularly ordered dynamical systems ⋮ Short proofs of theorems of Malyutin and Margulis ⋮ Triple transitivity and non‐free actions in dimension one ⋮ Topological transitivity and wandering intervals for group actions on the line \(\mathbb R\) ⋮ Flows of locally finite graphs ⋮ Equicontinuous actions on semi-locally connected and local dendrites ⋮ The rotation number integer quantization effect in braid groups ⋮ The space of circular orderings and semiconjugacy ⋮ Minimality for actions of abelian semigroups on compact spaces with a free interval

Cites Work

• Unnamed Item
• Unnamed Item
• Groups acting on the circle.
• Free subgroups of the homeomorphism group of the circle
• Groups of homeomorphisms of the line and the circle. Topological characteristics and metric invariants

This page was built for publication: Classification of the group actions on the real line and circle