Stratification of families of functions definable in o-minimal structures
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.
scientific article; zbMATH DE number 1916903