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- catalog abstract ""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. Book jacket."--BOOK JACKET.".
- catalog contributor b7114995.
- catalog created "1993.".
- catalog date "1993".
- catalog date "1993.".
- catalog dateCopyrighted "1993.".
- catalog description ""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. Book jacket."--BOOK JACKET.".
- catalog description "Includes bibliographical references (p. 236-248) and index.".
- catalog extent "xviii, 253 p. :".
- catalog identifier "0521457041 (pbk.)".
- catalog issued "1993".
- catalog issued "1993.".
- catalog language "eng".
- catalog publisher "Cambridge ; New York : Cambridge University Press,".
- catalog subject "511.3/22 20".
- catalog subject "Banach-Tarski paradox.".
- catalog subject "Decomposition (Mathematics)".
- catalog subject "Measure theory.".
- catalog subject "QA248 .W22 1993".
- catalog title "The Banach-Tarski paradox / Stan Wagon.".
- catalog type "text".