Bi-Lipschitz and differentiable sufficiency of weighted jets
Journal of Singularities, Tome 25 (2022), pp. 123-133
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In this work we study bi-Lipschitz and differential sufficiency in the set of weighted jets of map germs of weighted degree. Our main result improves the degree of sufficiency of jets in the classical jet space obtained by Takens and by Martins-Fávaro. Moreover, we give a condition for the bi-Lipschitz sufficiency in both the weighted and non-weighted cases. Bi-Lipschitz sufficiency was not considered in those previously cited works.
@article{10_5427_jsing_2022_25f,
author = {Jo\~ao Carlos Ferreira Costa and Marcelo Jos\'e Saia, and Carlos Humberto Soares Junior},
title = {Bi-Lipschitz and differentiable sufficiency of weighted jets},
journal = {Journal of Singularities},
pages = {123--133},
publisher = {mathdoc},
volume = {25},
year = {2022},
doi = {10.5427/jsing.2022.25f},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2022.25f/}
}
TY - JOUR AU - João Carlos Ferreira Costa AU - Marcelo José Saia, AU - Carlos Humberto Soares Junior TI - Bi-Lipschitz and differentiable sufficiency of weighted jets JO - Journal of Singularities PY - 2022 SP - 123 EP - 133 VL - 25 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2022.25f/ DO - 10.5427/jsing.2022.25f ID - 10_5427_jsing_2022_25f ER -
%0 Journal Article %A João Carlos Ferreira Costa %A Marcelo José Saia, %A Carlos Humberto Soares Junior %T Bi-Lipschitz and differentiable sufficiency of weighted jets %J Journal of Singularities %D 2022 %P 123-133 %V 25 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2022.25f/ %R 10.5427/jsing.2022.25f %F 10_5427_jsing_2022_25f
João Carlos Ferreira Costa; Marcelo José Saia,; Carlos Humberto Soares Junior. Bi-Lipschitz and differentiable sufficiency of weighted jets. Journal of Singularities, Tome 25 (2022), pp. 123-133. doi: 10.5427/jsing.2022.25f
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