Transversality theorems on generic linearly perturbed mappings

Abstract

In his celebrated paper "Generic projections", John Mather has given a striking transversality theorem and its applications on generic projections. On the other hand, in this paper, two transversality theorems on generic linearly perturbed $C^r$ mappings are shown $(r\ge 1)$. Moreover, some applications of the two theorems are also given.

accepted for publication in the Methods and Applications of Analysis special volume in memory of John Mather 14 pages. In this paper, some results of arXiv:1612.01100 are generalized