Stratification of families of functions definable in o-minimal structures
type: Item
instance of: scholarly article
title: Stratification of families of functions definable in o-minimal structures
zbMATH Open document ID: 1024.32007
author: Ta Lê Loi
published in: Acta Mathematica Vietnamica
publication date: 2003-11-13T00:00:00Z
review text: The author gives a short and elegant proof of the existence of Thom stratifications for families of functions definable in any o-minimal structure on the real field. As a corollary he obtains an extension of a result of \textit{T. Fukuda} [Publ. Math., Inst. Hautes Étud. Sci. 46, 87-106 (1976; Zbl 0341.57019)] on the number of topological types of polynomial functions on \(\mathbb R\) of bounded degree.
reviewed by: Zbigniew Hajto
Mathematics Subject Classification ID: 32B20
Mathematics Subject Classification ID: 14P15
Mathematics Subject Classification ID: 26E10
Mathematics Subject Classification ID: 26E05
zbMATH DE Number: 1916903
zbMATH Keywords: Thom stratification
zbMATH Keywords: o-minimal structure
zbMATH Keywords: semialgebraic set
zbMATH Keywords: definable set
zbMATH Keywords: isotopy lemma
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1916903