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.
- ISBN13 9780521302449
- Publish Date 23 May 1985 (first published 1 January 1985)
- Publish Status Inactive
- Out of Print 1 March 2005
- Publish Country GB
- Imprint Cambridge University Press
- Format Hardcover
- Pages 272
- Language English