Wagon, S The Banach-Tarski paradox

ISBN 13: 9780201135237

The Banach-Tarski paradox

 
9780201135237: The Banach-Tarski paradox

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.

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Book Description:

Asserting that a solid ball may be taken apart into many pieces that can be rearranged to form a ball twice as large as the original, the Banach-Tarski paradox is examined in relationship to measure and group theory, geometry and logic.

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