Sur les germes d’applications differentiables à singularités isolées

Bochnak, Jacek; Kucharz, Wojciech

doi:10.1090/S0002-9947-1979-0534113-4

Sur les germes d’applications differentiables à singularités isolées
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by Jacek Bochnak and Wojciech Kucharz PDF

Trans. Amer. Math. Soc. 252 (1979), 115-131 Request permission

Abstract:

Le but de cet article est d’étudier les germes d’applications différentiables $({{\textbf {R}}^n},0) \to ({{\textbf {R}}^p},0)$, ou plus généralement les familles de telles applications, ayant en 0 une singularité isolée. Nous formulerons certains critères de ${C^0}$-suffisance de jets et nous démontrerons quelques théorèmes sur le nombre de types topologiques de germes qui apparaissent dans des familles de germes à singularité isolée.

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On ${C^0}$-sufficiency of jets of potential functions

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