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(2014) Alfred Tarski, Basel, Birkhäuser.
On decomposition of point sets into respectively congruent parts (1924)
Andrew McFarland, Joanna McFarland, James T Smith
pp. 93-123
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
DOI: 10.1007/978-1-4939-1474-6_6
Full citation:
McFarland, A. , McFarland, J. , Smith, J.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, pp. 93-123.
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