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arXiv · 2011.15009

Dynamics and structure of groups of homeomorphisms of scattered spaces

Maxime Gheysens
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Abstract

We study the topological structure and the topological dynamics of groups of homeomorphisms of scattered spaces. For a large class of them (including the homeomorphism group of any ordinal space or of any locally compact scattered space), we establish Roelcke-precompactness and amenability, classify all closed normal subgroups and compute the universal minimal flow. As a by-product, we classify up to isomorphism the homeomorphism groups of compact ordinal spaces.

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Maxime Gheysens. 2020-11-30. Dynamics and structure of groups of homeomorphisms of scattered spaces. https://arxiv.org/abs/2011.15009

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