{"title":"拉格朗日型胚芽的象 \\(E_6^\\pm\\)","authors":"V. D. Sedykh","doi":"10.1134/S0016266323010094","DOIUrl":null,"url":null,"abstract":"<p> It is proved that the image of a stable germ of type <span>\\(E_6^\\pm\\)</span> of a Lagrangian map to <span>\\(\\mathbb R^n\\)</span> is homeomorphic to the germ at zero of a closed half-space. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 1","pages":"80 - 82"},"PeriodicalIF":0.6000,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Image of a Lagrangian Germ of Type \\\\(E_6^\\\\pm\\\\)\",\"authors\":\"V. D. Sedykh\",\"doi\":\"10.1134/S0016266323010094\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p> It is proved that the image of a stable germ of type <span>\\\\(E_6^\\\\pm\\\\)</span> of a Lagrangian map to <span>\\\\(\\\\mathbb R^n\\\\)</span> is homeomorphic to the germ at zero of a closed half-space. </p>\",\"PeriodicalId\":575,\"journal\":{\"name\":\"Functional Analysis and Its Applications\",\"volume\":\"57 1\",\"pages\":\"80 - 82\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-09-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Functional Analysis and Its Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0016266323010094\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Functional Analysis and Its Applications","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1134/S0016266323010094","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
The Image of a Lagrangian Germ of Type \(E_6^\pm\)
It is proved that the image of a stable germ of type \(E_6^\pm\) of a Lagrangian map to \(\mathbb R^n\) is homeomorphic to the germ at zero of a closed half-space.
期刊介绍:
Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.