Minimal Banach-Tarski Decompositions
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915406409629696 |
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| author | Straffelini, Cesare Zambanini, Kilian |
| author_facet | Straffelini, Cesare Zambanini, Kilian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_17517 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minimal Banach-Tarski Decompositions Straffelini, Cesare Zambanini, Kilian Logic Group Theory 03E25, 20E05, 28A05 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. |
| title | Minimal Banach-Tarski Decompositions |
| topic | Logic Group Theory 03E25, 20E05, 28A05 |
| url | https://arxiv.org/abs/2507.17517 |