Topological \(\mathcal K\)-equivalence of analytic function-germs
type: Item
instance of: scholarly article
title: Topological \(\mathcal K\)-equivalence of analytic function-germs
zbMATH Open document ID: 1226.32014
author: Lev Birbrair
author: João Carlos Ferreira Costa
author: Sergio A. Alvarez
author: A. Fernandes
published in: Central European Journal of Mathematics
publication date: 2010-10-08T00:00:00Z
review text: The paper is devoted to the topological \({\mathcal K}\)-equivalence of germs of functions definable in o-minimal structures. In particular, the authors prove that each \({\mathcal K}\)-equivalence class has a normal form given by a piecewise linear function. For real analytic maps in two variables, these normal forms can be expressed by combinatorial data that provide complete invariants for \({\mathcal K}\)-eqivalence.
reviewed by: Jawad Snoussi
Mathematics Subject Classification ID: 32S15
Mathematics Subject Classification ID: 32S05
zbMATH DE Number: 5797925
zbMATH Keywords: topological \(\mathcal K\)-equivalence
zbMATH Keywords: topological equivalence
zbMATH Keywords: function-germs
MaRDI profile type: Publication
full work available at URL: s11533-010-0013-8
OpenAlex ID: W2041855849
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DOI: 10.2478/S11533-010-0013-8
description: scientific article; zbMATH DE number 5797925