Global stability for diagrams of differentiable applications
type: Item
instance of: scholarly article
title: Global stability for diagrams of differentiable applications
zbMATH Open document ID: 0552.58009
author: L. A. Favaro
author: C. M. Mendes
publication date: 1986-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74701
review text: This paper leads the reader to some difficulties to pass from the local to the global study of stability of divergent diagrams. Some examples are given pointing to the nonexistence of global stable diagrams \(R\leftarrow M\to R\), M compact. Given \(\Phi\) : \(M\to Q\) fixed, the notion of \(\Phi\)- stability for maps \(f: M\to Q\) is introduced as for the corresponding \(\Phi\)-dimensional and \(\Phi\)-homotopical stabilities. The globalization procedure works and some characterization theorems are given for lower dimensions.
Mathematics Subject Classification ID: 58C25
Mathematics Subject Classification ID: 58K99
zbMATH DE Number: 3879757
zbMATH Keywords: stability of diagrams
zbMATH Keywords: unfoldings
zbMATH Keywords: singularities of differentiable mappings
MaRDI profile type: Publication
OpenAlex ID: W2312296859
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DOI: 10.5802/AIF.1041
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 3879757