New techniques for classification of multigerms
type: Item
instance of: scholarly article
title: New techniques for classification of multigerms
zbMATH Open document ID: 1395.58026
author: R. Wik Atique
author: Raúl Oset Sinha
published in: Topology and its Applications
publication date: 2018-01-05T00:00:00Z
review text: This is a survey paper on the classification of multigerms. The authors give an overview on the state of art of the subject, describing the advances in the theory along the last 15 years. They describe new operations to obtain germs in certain dimensions from germs with fewer branches in lower dimensions. These new techniques were introduced to classify multigerms of \(\mathcal A_e\)-codimension 1 by \textit{T. Cooper} et al. [Compos. Math. 131, No. 2, 121--160 (2002; Zbl 1002.32016)] and applied to the classification of \(\mathcal A_e\)-codimension 2 multigerms by \textit{R. O. Sinha} et al. [Math. Z. 278, No. 1--2, 547--573 (2014; Zbl 1302.32026)]. The authors review these results and discuss how they apply to the classification of \(\mathcal A\)-simple germs. Various examples illustrating the classifications are given.
reviewed by: Maria Aparecida Soares Ruas
Mathematics Subject Classification ID: 58K40
Mathematics Subject Classification ID: 58K20
Mathematics Subject Classification ID: 32S05
zbMATH DE Number: 6822560
zbMATH Keywords: classification of singularities
zbMATH Keywords: multigerms
zbMATH Keywords: augmentations
zbMATH Keywords: concatenations
zbMATH Keywords: stable unfoldings
MaRDI profile type: Publication
full work available at URL: j.topol.2017.11.031
OpenAlex ID: W2769840178
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DOI: 10.1016/J.TOPOL.2017.11.031
description: scientific article; zbMATH DE number 6822560