{"title":"保边界曲面图一致性的威肯问题","authors":"M. R. Kelly","doi":"10.12775/tmna.2022.061","DOIUrl":null,"url":null,"abstract":"We prove a Brooks type coincidence minimization result for boundary preserving maps on compact surfaces with boundary. \n As an application we obtain non-boundary Wecken results for pairs of maps \n $f,g\\colon (X,\\partial X) \\to (X,\\partial X)$ for most surfaces $X$.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Wecken problem for coincidences of boundary preserving surface maps\",\"authors\":\"M. R. Kelly\",\"doi\":\"10.12775/tmna.2022.061\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove a Brooks type coincidence minimization result for boundary preserving maps on compact surfaces with boundary. \\n As an application we obtain non-boundary Wecken results for pairs of maps \\n $f,g\\\\colon (X,\\\\partial X) \\\\to (X,\\\\partial X)$ for most surfaces $X$.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-02-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.12775/tmna.2022.061\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12775/tmna.2022.061","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Wecken problem for coincidences of boundary preserving surface maps
We prove a Brooks type coincidence minimization result for boundary preserving maps on compact surfaces with boundary.
As an application we obtain non-boundary Wecken results for pairs of maps
$f,g\colon (X,\partial X) \to (X,\partial X)$ for most surfaces $X$.
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