Regular homeomorphisms of \(\mathbb{R}^3\) and of \(\mathbb{S}^3\) (Q1652742)
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scientific article; zbMATH DE number 6901710
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regular homeomorphisms of \(\mathbb{R}^3\) and of \(\mathbb{S}^3\) |
scientific article; zbMATH DE number 6901710 |
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Regular homeomorphisms of \(\mathbb{R}^3\) and of \(\mathbb{S}^3\) (English)
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11 July 2018
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The author shows that every compact abelian group of homeomorphisms of \(\mathbb{R}^3\) is either zero-dimensional or equivalent to a subgroup of the orthogonal group O\((3)\). A similar result is proved for \(\mathbb{S}^3\). Regular homeomorphisms that are conjugate to their inverses are also investigated.
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homeomorphism of \(\mathbb{R}^3\)
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compact abelian group
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topological equivalence
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reversibility
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