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The Banach-Tarski paradox
Author
Title
The Banach-Tarski paradox / Grzegorz Tomkowicz, Centrum Edukacji G2, Bytom, Poland ; Stan Wagon, Macalester College, St. Paul, Minnesota.
ISBN
9781107042599
1107042593
Edition
Second edition.
Publication
New York, NY : Cambridge University Press, 2016.
Physical Description
xviii, 348 pages : illustrations (some color) ; 24 cm.
Notes
Previous edition: The Banach-Tarski paradox / Stan Wagon (Cambridge : Cambridge University Press, 1985).
Format
Books
Language
English
Added to Catalog
October 17, 2017
Series
Encyclopedia of mathematics and its applications ; 163
Bibliography
Includes bibliographical references and index.
Contents
The Hausdorff paradox
The Banach-Tarski paradox : duplicating spheres and balls
Hyperbolic paradoxes
Locally commutative actions : minimizing the number of pieces in a paradoxical decomposition
Higher dimensions
Free groups of large rank : getting a continuum of spheres from one
Paradoxes in low dimensions
Squaring the circle
The semigroup of equidecomposability types
Transition
Measures in groups
Applications of amenability
Growth conditions in groups and supramenability
The role of the axiom of choice.
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