Day's fixed point theorem, group cohomology and quasi-isometric rigidity (Q515276)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Day's fixed point theorem, group cohomology and quasi-isometric rigidity |
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Day's fixed point theorem, group cohomology and quasi-isometric rigidity (English)
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13 March 2017
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Summary: In this note we explain how Day's fixed point theorem can be used to conjugate certain groups of biLipschitz maps of a metric space into special subgroups like similarity groups. In particular, we use Day's theorem to establish Tukia-type theorems and to give new proofs of quasi-isometric rigidity results.
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Day's fixed point theorem
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Tukia theorem
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quasiconformal group
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uniform quasisimilarity group
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