Partitioning Euclidean space (Q5919858)
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scientific article; zbMATH DE number 279762
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Partitioning Euclidean space |
scientific article; zbMATH DE number 279762 |
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Partitioning Euclidean space (English)
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2 September 1993
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The author proves the following theorem: For any fixed \(n\)-simplex \(S\) in \(\mathbb{R}^ n\) there exists a partition of \(\mathbb{R}^ n\) into countably many pieces none of which contains an \(n\)-simplex similar to \(S\). The proof uses the Axiom of Choice.
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partition of \(\mathbb{R}^ n\)
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