The doodle of a finitely determined map germ from \(\mathbb R^2\) to \(\mathbb R^3\)
type: Item
instance of: scholarly article
title: The doodle of a finitely determined map germ from \(\mathbb R^2\) to \(\mathbb R^3\)
zbMATH Open document ID: 1171.58010
published in: Advances in Mathematics
publication date: 2009-05-28T00:00:00Z
review text: The associated doodle of a finitely determined map germ \( f: ({\mathbb{R}}^2,0)\to ({\mathbb{R}}^3,0) \) is the curve obtained as the intersection of the image of a representative of \( f \) with a sufficiently small sphere centered at the origin in \( {\mathbb{R}}^3 \). For a large class of map germs, the associated doodle has many transversal self-intersections. The authors consider the topological classification of such map germs from the point of view of the associated doodle.
reviewed by: Vincent Thilliez
Mathematics Subject Classification ID: 58K15
Mathematics Subject Classification ID: 58K40
Mathematics Subject Classification ID: 58K65
zbMATH DE Number: 5559019
zbMATH Keywords: finitely determined map germs
zbMATH Keywords: topological classification
zbMATH Keywords: Mond number
author: Washington Luiz Marar
author: J. J. Nuño-Ballesteros
MaRDI profile type: Publication
full work available at URL: j.aim.2009.02.008
OpenAlex ID: W1993079764
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DOI: 10.1016/J.AIM.2009.02.008
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description: scientific article; zbMATH DE number 5559019