{"title":"The holomorphic contractibility of two generalized Teichmuller spaces","authors":"C. Earle","doi":"10.2298/PIM0475109E","DOIUrl":null,"url":null,"abstract":"We show by simple explicit constructions that the Teichmuller spaces To(Δ) and To(Δ \\ {0}) are holomorphically contractible. We also call attention to a useful criterion for a map between domains in complex Banach spaces to be holomorphic.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Publications De L'institut Mathematique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/PIM0475109E","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
We show by simple explicit constructions that the Teichmuller spaces To(Δ) and To(Δ \ {0}) are holomorphically contractible. We also call attention to a useful criterion for a map between domains in complex Banach spaces to be holomorphic.
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