A refined transversality theorem on linear perturbations and its applications

2021/01/04 by Shunsuke Ichiki, Ichiki, Shunsuke · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Fixed Point Theorems Analysis #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2101.00854

Abstract

In this paper, we establish a refined transversality theorem on linear perturbations from a new perspective of Hausdorff measures. Furthermore, we give its applications not only to singularity theory but also to multiobjective optimization.

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