A counterexample to the Karvatskyi--Pratsiovytyi conjecture concerning the achievement set of an intermediate series
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929609269837824 |
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| author | Moroz, Mykola |
| author_facet | Moroz, Mykola |
| contents | We found a counterexample to the conjecture of Karvatskyi and Pratsiovytyi concerning the topological type of the achievement set of an intermediate series (Proceedings of the International Geometry Center, 2023. https://doi.org/10.15673/pigc.v16i3.2519). This conjecture is based on an analogy with the squeeze theorem from calculus. We also proposed an improved version of the conjecture, which this counterexample does not refute. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00042 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A counterexample to the Karvatskyi--Pratsiovytyi conjecture concerning the achievement set of an intermediate series Moroz, Mykola General Mathematics 40A05, 28A80, 11K31, 11B05 We found a counterexample to the conjecture of Karvatskyi and Pratsiovytyi concerning the topological type of the achievement set of an intermediate series (Proceedings of the International Geometry Center, 2023. https://doi.org/10.15673/pigc.v16i3.2519). This conjecture is based on an analogy with the squeeze theorem from calculus. We also proposed an improved version of the conjecture, which this counterexample does not refute. |
| title | A counterexample to the Karvatskyi--Pratsiovytyi conjecture concerning the achievement set of an intermediate series |
| topic | General Mathematics 40A05, 28A80, 11K31, 11B05 |
| url | https://arxiv.org/abs/2412.00042 |