The universal minimal space of the homeomorphism group of a h-homogeneous space

DOI10.1090/CONM/567/11237zbMath1279.37008arXiv1106.0121OpenAlexW4232191502MaRDI QIDQ2906454

Yonatan Gutman, Shmuel Glasner

Publication date: 5 September 2012

Published in: Dynamical Systems and Group Actions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0121

zbMATH Keywords

coronaremainderCantor setsmaximal chains\(h\)-homogeneoushomogeneous Boolean algebradual Ramsey theoremuniversal minimal spacecollapsing algebraParovicenko space

Mathematics Subject Classification ID

Stone spaces (Boolean spaces) and related structures (06E15) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Topological representations of algebraic systems (54H10)

Related Items (2)

Minimal hyperspace actions of homeomorphism groups of h-homogeneous spaces ⋮ Universal minimal flows of homeomorphism groups of high-dimensional manifolds are not metrizable

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