Clustering polar curves
Type de document :
Article dans une revue scientifique: Article original
URL permanente :
Titre :
Clustering polar curves
Auteur(s) :
Migus, Piotr [Auteur]
Air Force Institute of Technology [Pologne]
Păunescu, Laurenţiu [Auteur]
The University of Sydney
Tibăr, Mihai [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille
Air Force Institute of Technology [Pologne]
Păunescu, Laurenţiu [Auteur]
The University of Sydney
Tibăr, Mihai [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille
Titre de la revue :
Topology and its Applications
Pagination :
107991
Éditeur :
Elsevier
Date de publication :
2022-05
ISSN :
0166-8641
Mot(s)-clé(s) en anglais :
topological equivalence of functions
polar curves
Lipschitz invariants
polar curves
Lipschitz invariants
Discipline(s) HAL :
Mathématiques [math]
Résumé en anglais : [en]
This essay builds on the idea of grouping the polar curves of 2-variablefunction germs in polar clusters. In the topological category, one obtains a bijectivecorrespondence between certain partitions of the polar quotients ...
Lire la suite >This essay builds on the idea of grouping the polar curves of 2-variablefunction germs in polar clusters. In the topological category, one obtains a bijectivecorrespondence between certain partitions of the polar quotients of two topologicallyequivalent function germs. We explain how this bijective correspondence may berefined in the Lipschitz category in terms of the associated gradient canyons.Lire moins >
Lire la suite >This essay builds on the idea of grouping the polar curves of 2-variablefunction germs in polar clusters. In the topological category, one obtains a bijectivecorrespondence between certain partitions of the polar quotients of two topologicallyequivalent function germs. We explain how this bijective correspondence may berefined in the Lipschitz category in terms of the associated gradient canyons.Lire moins >
Langue :
Anglais
Comité de lecture :
Oui
Audience :
Internationale
Vulgarisation :
Non
Collections :
Source :
Date de dépôt :
2025-01-24T15:15:51Z
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