The Banach-Tarski Paradox

The Banach-Tarski Paradox

eBook - 1985
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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.
Publisher: Cambridge ; New York : Cambridge University Press, 1985
ISBN: 9781107087569
1107087562
9780511609596
0511609590
9780521302449
0521302447
Characteristics: 1 online resource (xvi, 251 pages) : illustrations

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