{"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":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topological Methods in Nonlinear Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12775/tmna.2022.061","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
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 $X$.
期刊介绍：
Topological Methods in Nonlinear Analysis (TMNA) publishes research and survey papers on a wide range of nonlinear analysis, giving preference to those that employ topological methods. Papers in topology that are of interest in the treatment of nonlinear problems may also be included.
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