Minimal Banach–Tarski decompositions
Abstract
We investigate the problem of finding the minimum number of pieces necessary for dividing a three-dimensional sphere or a ball and reassembling it to form n congruent copies of the original object, generalising a known result by Raphael Robinson.
Fields of Study & Subjects
Advanced Banach Space Theory
Holomorphic and Operator Theory
Rings
Modules
and Algebras
Publication details
- Journal / source
- Fundamenta Mathematicae
- Publisher
- Institute of Mathematics, Polish Academy of Sciences
- Publication date
- 8 June 2026
- Language
- EN