no. 1
Global stability for diagrams of differentiable applications
Annales de l'Institut Fourier, Tome 36 (1986) no. 1, pp. 133-153

In this paper, we give some examples which point to the non-existence of C ∞ -global stable diagrams R← g M→ f R, M compact. If Φ : M→Q is fixed we define the Φ-equivalence for maps f:M→P and the corresponding Φ-stability. The globalization procedure works and we can compare the Φ-stability, Φ-infinitesimal stability, and Φ-homotopical stability. Also we give some characterization theorems for lower dimensions.

Dans cet article, nous donnons quelques exemples qui suggèrent la non existence de diagrammes globalement C ∞ -stables R← g M→ f R, M compact. Si Φ : M→Q est fixe nous définissons la Φ-équivalence pour les applications f:M→P et la Φ-stabilité correspondante. La procédure de globalisation fonctionne et nous pouvons comparer la Φ-stabilité, la Φ-stabilité infinitésimale et la Φ-stabilité homotopique. Nous donnons aussi quelques théorèmes de caractérisation pour des dimensions inférieures.

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     title = {Global stability for diagrams of differentiable applications},
     journal = {Annales de l'Institut Fourier},
     pages = {133--153},
     year = {1986},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {36},
     number = {1},
     doi = {10.5802/aif.1041},
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Favaro, Luis Antonio; Mendes, C. M. Global stability for diagrams of differentiable applications. Annales de l'Institut Fourier, Tome 36 (1986) no. 1, pp. 133-153. doi: 10.5802/aif.1041

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