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.
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© 2014 Springer Science+Business Media New York
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McFarland, A., McFarland, J., Smith, J.T. (2014). On Decomposition of Point Sets into Respectively Congruent Parts (1924). In: McFarland, A., McFarland, J., Smith, J. (eds) Alfred Tarski. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4939-1474-6_6
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DOI: https://doi.org/10.1007/978-1-4939-1474-6_6
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Publisher Name: Birkhäuser, New York, NY
Print ISBN: 978-1-4939-1473-9
Online ISBN: 978-1-4939-1474-6
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