On the elimination of Morin singularities
The author studies the problem of finding a smooth map between smooth manifolds with nice Morin singularities in a given homotopy class. The main results are summarized in two hard theorems [cf. \textit{H. I. Levine}, Topology 3, 263-296 (1965; Zbl 0146.200); \textit{M. L. Gromov}, Izv. Akad. Nauk SSSR, Ser. Mat. 33, 707-734 (1969; Zbl 0197.204); \textit{Ya. M. Eliashberg}, Izv. Akad. Nauk SSSR, Ser. Mat. 36, 1321-1347 (1972; Zbl 0254.57019); \textit{A. A. Du Plessis}, Comment, Math. Helv. 50, 363-382 (1975; Zbl 0313.58010)].
scientific article; zbMATH DE number 3929972