2018/06/13 by Shunsuke Ichiki, Ichiki, Shunsuke · 1 citation
Mathematics · #57R42 #57R45 #Advanced Differential Equations and Dynamical Systems #Differential Equations and Numerical Methods #FOS: Mathematics #Geometric Topology (math.GT) #Nonlinear Differential Equations Analysis #math.GT #msc:57R42 #msc:57R45
paper · pdf · doi:10.48550/arxiv.1806.04839
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
openalex publication_date 2018/06/13 · arxiv created 2018/08/12 · arxiv updated 2018/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Cr mappings are shown (r≥ 1). Moreover, some applications of the two theorems are also given.