{"title":"轨道空间的Klein分层","authors":"Serap GÜRER","doi":"10.36890/iejg.1364214","DOIUrl":null,"url":null,"abstract":"We consider the stratification of orbit spaces as defined by the local diffeomorphism action, known as the Klein stratification. We demonstrate that the Klein strata on orbit spaces with isolated point singularities are precisely the union of points where the space has the same dimension.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":"59 3","pages":"0"},"PeriodicalIF":0.4000,"publicationDate":"2023-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Klein Stratification of Orbit spaces\",\"authors\":\"Serap GÜRER\",\"doi\":\"10.36890/iejg.1364214\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the stratification of orbit spaces as defined by the local diffeomorphism action, known as the Klein stratification. We demonstrate that the Klein strata on orbit spaces with isolated point singularities are precisely the union of points where the space has the same dimension.\",\"PeriodicalId\":43768,\"journal\":{\"name\":\"International Electronic Journal of Geometry\",\"volume\":\"59 3\",\"pages\":\"0\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-10-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Electronic Journal of Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.36890/iejg.1364214\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Electronic Journal of Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36890/iejg.1364214","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
We consider the stratification of orbit spaces as defined by the local diffeomorphism action, known as the Klein stratification. We demonstrate that the Klein strata on orbit spaces with isolated point singularities are precisely the union of points where the space has the same dimension.
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