What is recorded here?
Established finite equidecomposition results in Euclidean spaces of dimension at least three, including the result now known as the Banach–Tarski paradox under the set-theoretic assumptions used.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is the exact two-author 1924 French paper. It concerns nonmeasurable set-theoretic pieces, not a physically executable cutting process, and does not absorb Hausdorff’s antecedent or later refinements concerning choice principles and piece counts.
Read the original work
- Polish Digital Mathematics Library record for Banach–Tarski paper
- Banach publication archive entry for joint paper
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People and systems
Stefan Banach; Alfred Tarski
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.
Research locations and affiliations
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Documented countries / regions: Ukraine, Poland
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English catalogue narrative
Banach and Tarski: decomposition of point sets into congruent parts
Established finite equidecomposition results in Euclidean spaces of dimension at least three, including the result now known as the Banach–Tarski paradox under the set-theoretic assumptions used.
Scientific scope
The record is the exact two-author 1924 French paper. It concerns nonmeasurable set-theoretic pieces, not a physically executable cutting process, and does not absorb Hausdorff’s antecedent or later refinements concerning choice principles and piece counts.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Stefan Banach; Alfred Tarski
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.