Smooth maps having only singularities with Boardman symbol (1,0)
type: Item
instance of: scholarly article
title: Smooth maps having only singularities with Boardman symbol (1,0)
zbMATH Open document ID: 1086.58001
author: Yoshifumo Ando
published in: Topology and its Applications
publication date: 2004-11-23T00:00:00Z
review text: The author determines the homotopy type of the subspace consisting of all 2-jets of smooth germs, which are regular or have singularities with Boardman symbol (1,0). This is aimed at classifying smooth maps having only such singularities by the homotopy principle due to \textit{A. Du Plessis} [Comment. Math. Helv. 50, 363--382 (1975; Zbl 0313.58010)] and \textit{M. Gromov} [Math. USSR, Izv. 3, 671--694 (1969), translation from Izv. Akad. Nauk SSSR, Ser. Mat. 33, 707--734 (1969; Zbl 0197.20404)]. Some interesting applications concerning the existence and non-existence of such regular maps are given.
reviewed by: Dorin Andrica
Mathematics Subject Classification ID: 58A20
Mathematics Subject Classification ID: 57R45
Mathematics Subject Classification ID: 58K30
zbMATH DE Number: 2117954
zbMATH Keywords: singularity
zbMATH Keywords: jet space
zbMATH Keywords: Thom-Boardman manifold
zbMATH Keywords: homotopy type
MaRDI profile type: Publication
full work available at URL: j.topol.2004.02.002
OpenAlex ID: W2026506211
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DOI: 10.1016/J.TOPOL.2004.02.002
description: scientific article; zbMATH DE number 2117954