TY  - BOOK
AU  - Wagon,S.
TI  - The Banach-Tarski paradox
T2  - Encyclopedia of mathematics and its applications
SN  - 9780511609596 (ebook)
AV  - QA248 .W22 1985
U1  - 511.3/22 19
PY  - 1985///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Banach-Tarski paradox
KW  - Measure theory
KW  - Decomposition (Mathematics)
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511609596
ER  -