{"title":"两个广义Teichmuller空间的全纯可缩性","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":"{\"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}","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}
The holomorphic contractibility of two generalized Teichmuller spaces
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.