Topological stability theorem for composite mappings
Annales de l'Institut Fourier, Tome 39 (1989) no. 2, pp. 459-500.

Nous démontrons que les diagrammes convergents génériques des applications différentiables sont topologique stables. En démontrant quelques propriétés globales des diagrammes, nous proposons une généralisation du concept de la singularité pour diagrammes, et nous montrons la géométrie des applications composées.

We prove that generic convergent diagrams of proper smooth mappings are topologically stable. In proving global properties of diagrams we propose a generalization of the concept of singularity for diagrams, and we establish the geometry of composite mappings.

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     author = {Nakai, Isao},
     title = {Topological stability theorem for composite mappings},
     journal = {Annales de l'Institut Fourier},
     pages = {459--500},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {39},
     number = {2},
     year = {1989},
     doi = {10.5802/aif.1174},
     mrnumber = {91e:58020},
     zbl = {0673.58025},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.1174/}
}
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Nakai, Isao. Topological stability theorem for composite mappings. Annales de l'Institut Fourier, Tome 39 (1989) no. 2, pp. 459-500. doi : 10.5802/aif.1174. http://www.numdam.org/articles/10.5802/aif.1174/

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