线性摄动的一个改进的横截定理及其应用

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Mathematical Society of Japan Pub Date : 2023-09-15 DOI:10.2969/jmsj/90559055

Shunsuke ICHIKI

引用次数: 0

摘要

本文从豪斯多夫测度的新视角出发，建立了关于线性摄动的一个改进的横截定理。并将其应用于奇异性理论和多目标优化问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A refined transversality theorem on linear perturbations and its applications

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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来源期刊

Journal of the Mathematical Society of Japan 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Mathematical Society of Japan (JMSJ) was founded in 1948 and is published quarterly by the Mathematical Society of Japan (MSJ). It covers a wide range of pure mathematics. To maintain high standards, research articles in the journal are selected by the editorial board with the aid of distinguished international referees. Electronic access to the articles is offered through Project Euclid and J-STAGE. We provide free access to back issues three years after publication (available also at Online Index).