The homeomorphism group of the first uncountable ordinal
type: Item
instance of: scholarly article
title: The homeomorphism group of the first uncountable ordinal
DOI: 10.4171/LEM/1006
author: Maxime Gheysens
published in: L'Enseignement Mathématique. 2e Série
publication date: 2022-02-24T00:00:00Z
full work available at URL: https://arxiv.org/abs/1911.09088
review text: Summary: We show that the topology of pointwise convergence on scattered spaces is compatible with the group structure of their homeomorphism group. We then establish a few topological properties of the homeomorphism group of the first uncountable ordinal, such as amenability and Roelcke-precompactness.
Mathematics Subject Classification ID: 20F38
Mathematics Subject Classification ID: 54G12
Mathematics Subject Classification ID: 43A07
zbMATH DE Number: 7480953
zbMATH Keywords: scattered space
zbMATH Keywords: homeomorphism group
zbMATH Keywords: first uncountable ordinal
zbMATH Keywords: amenability
zbMATH Keywords: Roelcke-precompactness
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7480953