Clustering polar curves
Document type :
Article dans une revue scientifique: Article original
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Title :
Clustering polar curves
Author(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
Journal title :
Topology and its Applications
Pages :
107991
Publisher :
Elsevier
Publication date :
2022-05
ISSN :
0166-8641
English keyword(s) :
topological equivalence of functions
polar curves
Lipschitz invariants
polar curves
Lipschitz invariants
HAL domain(s) :
Mathématiques [math]
English abstract : [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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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Source :
Submission date :
2025-01-24T15:15:51Z
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