``Paradoxical'' decomposition of Euclidean spaces (Q1315394)
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scientific article; zbMATH DE number 513263
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | ``Paradoxical'' decomposition of Euclidean spaces |
scientific article; zbMATH DE number 513263 |
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``Paradoxical'' decomposition of Euclidean spaces (English)
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27 March 1994
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In this expository paper, the author proves the Banach-Tarski paradox, Laczkovich's criterion for a set to be uniformly spread [\textit{M. Laczkovich}, J. Reine Angew. Math. 404, 77-117 (1990; Zbl 0748.51017)], the equivalence of a notion of ``paradox'' with the notion ``of exponential growth'' for discrete subsets of \(\mathbb{R}^ n\), and states Laczkovich's celebrated circle squaring theorem.
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paradoxical decompositions
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Banach-Tarski paradox
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exponential growth
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circle squaring theorem
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