BI-LIPSCHITZ CONTACT INVARIANCE OF RANK
We address the question of whether the Thom-Boardman symbol of a map germ is an invariant with respect to bi-Lipschitz right equivalence. We give a counterexample showing that in general the answer is negative. We prove that the rank of a map germ is a bi-Lipschitz contact invariant. Consequently, t...
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Trường Đại học Đà Lạt
2023
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| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/114443 https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/886 |
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oai:scholar.dlu.edu.vn:DLU123456789-1144432023-10-27T14:46:55Z BI-LIPSCHITZ CONTACT INVARIANCE OF RANK Nguyen, Xuan Viet Nhan We address the question of whether the Thom-Boardman symbol of a map germ is an invariant with respect to bi-Lipschitz right equivalence. We give a counterexample showing that in general the answer is negative. We prove that the rank of a map germ is a bi-Lipschitz contact invariant. Consequently, the first Thom-Boardman symbol and its length are bi-Lipschitz contact invariants. 2023-03-04T08:26:16Z 2023-03-04T08:26:16Z 2022 Article 0866-787X https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/114443 https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/886 10.37569/DalatUniversity.12.2.886(2022) en Tạp chí Khoa học Đại học Đà Lạt, Tập 12, Số 2; tr. 40-47 application/pdf Trường Đại học Đà Lạt |
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Thư viện Trường Đại học Đà Lạt |
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English |
| description |
We address the question of whether the Thom-Boardman symbol of a map germ is an invariant with respect to bi-Lipschitz right equivalence. We give a counterexample showing that in general the answer is negative. We prove that the rank of a map germ is a bi-Lipschitz contact invariant. Consequently, the first Thom-Boardman symbol and its length are bi-Lipschitz contact invariants. |
| format |
Article |
| author |
Nguyen, Xuan Viet Nhan |
| spellingShingle |
Nguyen, Xuan Viet Nhan BI-LIPSCHITZ CONTACT INVARIANCE OF RANK |
| author_facet |
Nguyen, Xuan Viet Nhan |
| author_sort |
Nguyen, Xuan Viet Nhan |
| title |
BI-LIPSCHITZ CONTACT INVARIANCE OF RANK |
| title_short |
BI-LIPSCHITZ CONTACT INVARIANCE OF RANK |
| title_full |
BI-LIPSCHITZ CONTACT INVARIANCE OF RANK |
| title_fullStr |
BI-LIPSCHITZ CONTACT INVARIANCE OF RANK |
| title_full_unstemmed |
BI-LIPSCHITZ CONTACT INVARIANCE OF RANK |
| title_sort |
bi-lipschitz contact invariance of rank |
| publisher |
Trường Đại học Đà Lạt |
| publishDate |
2023 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/114443 https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/886 |
| _version_ |
1819769647584509952 |