Book | Chapter
On decomposition of point sets into respectively congruent parts (1924)
pp. 93-123
Abstract
This chapter contains an English translation of the paper Sur la décomposition des ensembles de points en parties respectivement congruents, [1924] 2014, by Stefan Banach and Alfred Tarski. It appeared in volume 6 of the journal Fundamenta Mathematicae. This is its first translation. Its best-known result is often called the Banach–Tarski paradox: any two balls with different radii can be decomposed into the same finite number of disjoint, respectively congruent parts.
Publication details
Published in:
McFarland Andrew, McFarland Joanna, Smith James T (2014) Alfred Tarski: early work in Poland—geometry and teaching. Basel, Birkhäuser.
Pages: 93-123
DOI: 10.1007/978-1-4939-1474-6_6
Full citation:
McFarland Andrew, McFarland Joanna, Smith James T (2014) „On decomposition of point sets into respectively congruent parts (1924)“, In: A. Mcfarland, J. Mcfarland & J.T. Smith (eds.), Alfred Tarski, Basel, Birkhäuser, 93–123.