BI-LIPSCHITZ CONTACT INVARIANCE OF RANK
DOI:
https://doi.org/10.37569/DalatUniversity.12.2.886(2022)Keywords:
Bi-Lipschitz contact invariant, Rank, Thom-Boardman symbol.Abstract
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.
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Copyright (c) 2022 Nguyen Xuan Viet Nhan.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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