Kun, Gábor (2021) On Gardner's Conjecture. COMBINATORICA. pp. 1-6. ISSN 0209-9683 (Submitted)
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Official URL: https://doi.org/10.1007%2Fs00493-021-4705-4
Abstract
Gardner conjectured that if two bounded measurable sets A, B subset of Double-struck capital R-n are equidecomposable by a set of isometries Gamma generating an amenable group then A and B admit a measurable equidecomposition by all isometries. Ciesla and Sabok asked if there is a measurable equidecomposition using isometries only in the group generated by Gamma. We answer this question negatively.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 28 Sep 2022 14:02 |
| Last Modified: | 11 Apr 2023 06:28 |
| URI: | http://real.mtak.hu/id/eprint/150419 |
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