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arXiv · 2105.14578

Clustering polar curves

Piotr Migus·Laurenţiu Păunescu·Mihai Tibăr
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Abstract

This essay builds on the idea of grouping the polar curves of 2-variable function germs into polar clusters. In the topological category, one obtains a bijective correspondence between certain partitions of the polar quotients of two topologically equivalent function germs. We explain how this bijective correspondence may be refined in the Lipschitz category in terms of the associated gradient canyons.

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Piotr Migus, Laurenţiu Păunescu, Mihai Tibăr. 2021-05-30. Clustering polar curves. https://doi.org/10.1016/j.topol.2021.107991

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