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The Banach-Tarski paradox /
The Banach-Tarski paradox is a most striking mathematical construction: it asserts that a solid ball may be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large as the original. This volume explores the consequences of the paradox for measure...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1985.
|
| Colección: | Encyclopedia of mathematics and its applications ;
v. 24. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 1 | 4 | |a The Banach-Tarski paradox / |c Stan Wagon. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1985. | ||
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| 490 | 1 | |a Encyclopedia of mathematics and its applications ; |v v. 24 | |
| 504 | |a Includes bibliographical references (pages 234-245) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a The Banach-Tarski paradox is a most striking mathematical construction: it asserts that a solid ball may be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large as the original. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, and logic. It unifies the results of contemporary research on the paradox and presents several new results including some unusual paradoxes in hyperbolic space. It also provides up-to-date proofs and discusses many unsolved problems. | ||
| 505 | 0 | |a pt. I. Paradoxical decompositions, or, The nonexistence of finitely additive measures -- pt. II. Finitely additive measures, or, The nonexistence of paradoxical decompositions. | |
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| 650 | 0 | |a Banach-Tarski paradox. | |
| 650 | 0 | |a Measure theory. | |
| 650 | 0 | |a Decomposition (Mathematics) | |
| 650 | 6 | |a Théorie de la mesure. | |
| 650 | 6 | |a Décomposition (Mathématiques) | |
| 650 | 6 | |a Paradoxe de Banach-Tarski. | |
| 650 | 7 | |a MATHEMATICS |x Set Theory. |2 bisacsh | |
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| 650 | 7 | |a Measure theory. |2 fast |0 (OCoLC)fst01013175 | |
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