{"title":"Local theory of singularities of three functions and the product maps","authors":"Kazuto Takao","doi":"10.32917/h2021020","DOIUrl":null,"url":null,"abstract":"A bstract . Suppose that a smooth map ð f ; g ; h Þ : R n ! R 3 , where n b 3, has a stable singularity at the origin. We characterize the stability of the function f : R n ! R and the map ð f ; g Þ : R n ! R 2 at the origin in terms of the discriminant set of ð f ; g ; h Þ .","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.32917/h2021020","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A bstract . Suppose that a smooth map ð f ; g ; h Þ : R n ! R 3 , where n b 3, has a stable singularity at the origin. We characterize the stability of the function f : R n ! R and the map ð f ; g Þ : R n ! R 2 at the origin in terms of the discriminant set of ð f ; g ; h Þ .
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