English

A refined transversality theorem on linear perturbations and its applications

Optimization and Control 2023-04-13 v4 Geometric Topology

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.

Keywords

Cite

@article{arxiv.2101.00854,
  title  = {A refined transversality theorem on linear perturbations and its applications},
  author = {Shunsuke Ichiki},
  journal= {arXiv preprint arXiv:2101.00854},
  year   = {2023}
}
R2 v1 2026-06-23T21:44:34.978Z