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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Dalat University
2022-01-01
|
| Series: | Tạp chí Khoa học Đại học Đà Lạt |
| Subjects: | |
| Online Access: | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/886 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832557615368896512 |
|---|---|
| author | Xuan Viet Nhan Nguyen |
| author_facet | Xuan Viet Nhan Nguyen |
| author_sort | Xuan Viet Nhan Nguyen |
| collection | DOAJ |
| 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 |
| id | doaj-art-066f60d3b5084ba98facfab7cd256aa9 |
| institution | Kabale University |
| issn | 0866-787X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Dalat University |
| record_format | Article |
| series | Tạp chí Khoa học Đại học Đà Lạt |
| spelling | doaj-art-066f60d3b5084ba98facfab7cd256aa92025-02-03T03:29:35ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2022-01-01404710.37569/DalatUniversity.12.2.886(2022)637BI-LIPSCHITZ CONTACT INVARIANCE OF RANKXuan Viet Nhan Nguyen0Basque Center for Applied Mathematics, BilbaoWe 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.https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/886bi-lipschitz contact invariantrankthom-boardman symbol. |
| spellingShingle | Xuan Viet Nhan Nguyen BI-LIPSCHITZ CONTACT INVARIANCE OF RANK Tạp chí Khoa học Đại học Đà Lạt bi-lipschitz contact invariant rank thom-boardman symbol. |
| title | 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_short | BI-LIPSCHITZ CONTACT INVARIANCE OF RANK |
| title_sort | bi lipschitz contact invariance of rank |
| topic | bi-lipschitz contact invariant rank thom-boardman symbol. |
| url | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/886 |
| work_keys_str_mv | AT xuanvietnhannguyen bilipschitzcontactinvarianceofrank |