The homeomorphism group of the first uncountable ordinal (Q2077240)
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scientific article; zbMATH DE number 7480953
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The homeomorphism group of the first uncountable ordinal |
scientific article; zbMATH DE number 7480953 |
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The homeomorphism group of the first uncountable ordinal (English)
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24 February 2022
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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.
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scattered space
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homeomorphism group
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first uncountable ordinal
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amenability
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Roelcke-precompactness
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0.8741502
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0.8630684
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0.8584521
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0.85110945
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0.8508544
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