Universal minimal flows of homeomorphism groups of high-dimensional manifolds are not metrizable
DOI10.1007/s00208-021-02146-1zbMath1486.37017arXiv1910.12220OpenAlexW3126413230MaRDI QIDQ2664163
Andy Zucker, Todor Tsankov, Yonatan Gutman
Publication date: 20 April 2021
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.12220
Structure of general topological groups (22A05) Transformation groups and semigroups (topological aspects) (54H15) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) General theory of group and pseudogroup actions (22F05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Random orderings and unique ergodicity of automorphism groups
- Metrizable universal minimal flows of Polish groups have a comeagre orbit
- The pseudo-arc
- A homogeneous indecomposable plane continuum
- Concerning hereditarily indecomposable continua
- Polish Groups with Metrizable Universal Minimal Flows
- The universal minimal space of the homeomorphism group of a h-homogeneous space
- On free actions, minimal flows, and a problem by Ellis
- The universal minimal system for the group of homeomorphisms of the Cantor set
- A direct solution to the Generic Point Problem
- The universal minimal flow of the homeomorphism group of the Lelek fan
- UNIVERSAL MINIMAL FLOWS OF GENERALIZED WAŻEWSKI DENDRITES
- A new short proof for the uniqueness of the universal minimal space
- Minimal actions of homeomorphism groups
This page was built for publication: Universal minimal flows of homeomorphism groups of high-dimensional manifolds are not metrizable