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...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1985
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 24 |
| Links: | https://doi.org/10.1017/CBO9780511609596 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xvi, 251 Seiten) |
| ISBN: | 9780511609596 |
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| indexdate | 2025-03-03T11:58:03Z |
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| isbn | 9780511609596 |
| language | English |
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| spelling | Wagon, S. The Banach-Tarski paradox Stan Wagon Cambridge Cambridge University Press 1985 1 Online-Ressource (xvi, 251 Seiten) txt c cr Encyclopedia of mathematics and its applications volume 24 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. Erscheint auch als Druck-Ausgabe 9780521302449 Erscheint auch als Druck-Ausgabe 9780521457040 |
| spellingShingle | Wagon, S. The Banach-Tarski paradox |
| title | The Banach-Tarski paradox |
| title_auth | The Banach-Tarski paradox |
| title_exact_search | The Banach-Tarski paradox |
| title_full | The Banach-Tarski paradox Stan Wagon |
| title_fullStr | The Banach-Tarski paradox Stan Wagon |
| title_full_unstemmed | The Banach-Tarski paradox Stan Wagon |
| title_short | The Banach-Tarski paradox |
| title_sort | banach tarski paradox |
| work_keys_str_mv | AT wagons thebanachtarskiparadox AT wagons banachtarskiparadox |