JournalslemVol. 67, No. 1/2pp. 145–159

The homeomorphism group of the first uncountable ordinal

  • Maxime Gheysens

    Technische Universität Bergakademie Freiberg, Germany
The homeomorphism group of the first uncountable ordinal cover
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Abstract

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.

Cite this article

Maxime Gheysens, The homeomorphism group of the first uncountable ordinal. Enseign. Math. 67 (2021), no. 1/2, pp. 145–159

DOI 10.4171/LEM/1006