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On Decomposition of Point Sets into Respectively Congruent Parts (1924)

In: Alfred Tarski

Author

Listed:
  • Andrew McFarland
  • Joanna McFarland
  • James T. Smith

    (San Francisco State University, Department of Mathematics)

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.

Suggested Citation

  • Andrew McFarland & Joanna McFarland & James T. Smith, 2014. "On Decomposition of Point Sets into Respectively Congruent Parts (1924)," Springer Books, in: Andrew McFarland & Joanna McFarland & James T. Smith (ed.), Alfred Tarski, edition 127, chapter 6, pages 93-123, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4939-1474-6_6
    DOI: 10.1007/978-1-4939-1474-6_6
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