In this paper, we give some examples which point to the non-existence of -global stable diagrams , compact. If : is fixed we define the -equivalence for maps and the corresponding -stability. The globalization procedure works and we can compare the -stability, -infinitesimal stability, and -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 -stables , compact. Si : est fixe nous définissons la -équivalence pour les applications et la -stabilité correspondante. La procédure de globalisation fonctionne et nous pouvons comparer la -stabilité, la -stabilité infinitésimale et la -stabilité homotopique. Nous donnons aussi quelques théorèmes de caractérisation pour des dimensions inférieures.
@article{AIF_1986__36_1_133_0, author = {Favaro, Luis Antonio and Mendes, C. M.}, title = {Global stability for diagrams of differentiable applications}, journal = {Annales de l'Institut Fourier}, pages = {133--153}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {36}, number = {1}, year = {1986}, doi = {10.5802/aif.1041}, mrnumber = {87k:58033}, zbl = {0552.58009}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1041/} }
TY - JOUR AU - Favaro, Luis Antonio AU - Mendes, C. M. TI - Global stability for diagrams of differentiable applications JO - Annales de l'Institut Fourier PY - 1986 SP - 133 EP - 153 VL - 36 IS - 1 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/aif.1041/ DO - 10.5802/aif.1041 LA - en ID - AIF_1986__36_1_133_0 ER -
%0 Journal Article %A Favaro, Luis Antonio %A Mendes, C. M. %T Global stability for diagrams of differentiable applications %J Annales de l'Institut Fourier %D 1986 %P 133-153 %V 36 %N 1 %I Institut Fourier %C Grenoble %U http://archive.numdam.org/articles/10.5802/aif.1041/ %R 10.5802/aif.1041 %G en %F AIF_1986__36_1_133_0
Favaro, Luis Antonio; Mendes, C. M. Global stability for diagrams of differentiable applications. Annales de l'Institut Fourier, Volume 36 (1986) no. 1, pp. 133-153. doi : 10.5802/aif.1041. http://archive.numdam.org/articles/10.5802/aif.1041/
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