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Global stability for diagrams of differentiable applications

Luis Antonio FavaroC. M. Mendes — 1986

Annales de l'institut Fourier

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.

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