A Discussion of Arnold's Limit Problem and its Geometric Argument
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909231068741632 |
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| author | Honn, Keising |
| author_facet | Honn, Keising |
| contents | Upon re-examining Arnold's established lemma for explaining his famous limit problem, we have determined that while the lemma itself is correct, there is a defect in the original geometric proof. In this paper, we prove the correctness of the lemma using methods of power series, and construct a counterexample to illustrate the defect in Arnold's geometric proof. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16570 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Discussion of Arnold's Limit Problem and its Geometric Argument Honn, Keising History and Overview 26A06, 26A03 Upon re-examining Arnold's established lemma for explaining his famous limit problem, we have determined that while the lemma itself is correct, there is a defect in the original geometric proof. In this paper, we prove the correctness of the lemma using methods of power series, and construct a counterexample to illustrate the defect in Arnold's geometric proof. |
| title | A Discussion of Arnold's Limit Problem and its Geometric Argument |
| topic | History and Overview 26A06, 26A03 |
| url | https://arxiv.org/abs/2406.16570 |