Construct · 1 fields · 1 citations

Banach-Tarski paradox: a standalone construct

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Analysis

the result that a solid ball can be cut into finitely many non-measurable pieces and reassembled by rigid motions into two balls of the same size.

In analysis, Banach-Tarski paradox refers to the result that a solid ball can be cut into finitely many non-measurable pieces and reassembled by rigid motions into two balls of the same size. This meaning comes from Banach (1924) in Fundamenta Mathematicae.[1]

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paradox3 fields · 4 citationsjingle · one word, three constructs size1 fields · 1 citationsanchor · a standalone construct

References

Banach, S., & Tarski, A. (1924). Sur la décomposition des ensembles de points en parties respectivement congruentes. Fundamenta Mathematicae, 6, 244-277. https://doi.org/10.4064/fm-6-1-244-277

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