UID:
almahu_9948233657702882
Format:
1 online resource (xvi, 251 pages) :
,
digital, PDF file(s).
ISBN:
9780511609596 (ebook)
Series Statement:
Encyclopedia of mathematics and its applications ; volume 24
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Additional Edition:
Print version: ISBN 9780521302449
Language:
English
URL:
https://doi.org/10.1017/CBO9780511609596