NORMAL SINGULAR POINTS, SIMPLE NORMAL SINGULAR POINTS AND MODELS FOR ELIMINATION

The author studies the singularities of a differential mapping f between differential manifolds with the constraint f (A) subset-of B where A and B are two differential submanifolds. The author introduces a new notion: that of a normal singular point. In particular he studies some of these points that he calls simple normal singular points. He gives for them an intrinsic definition and a canonical form in local coordinates. A model for the elimination of simple normal singular points is also given.