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1、LectureNotesinMathematics1827Editors:J.--M.Morel,CachanF.Takens,GroningenB.Teissier,Paris3BerlinHeidelbergNewYorkHongKongLondonMilanParisTokyoKevinM.PilgrimCombinationsofComplexDynamicalSystems13AuthorKevinM.PilgrimDepartmentofMathematicsIndianaUniversityBloomington,IN47401,USAe-mail:pilgrim
2、@indiana.eduCataloging-in-PublicationDataappliedforBibliographicinformationpublishedbyDieDeutscheBibliothekDieDeutscheBibliothekliststhispublicationintheDeutscheNationalbibliografie;detailedbibliographicdataisavailableintheInternetathttp://dnb.ddb.deMathematicsSubjectClassification(2000):37F
3、20ISSN0075-8434ISBN3-540-20173-4Springer-VerlagBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyother
4、way,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer-Verlag.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.Springer-Ve
5、rlagBerlinHeidelbergNewYorkamemberofBertelsmannSpringerScience+BusinessMediaGmbHhttp://www.springer.decSpringer-VerlagBerlinHeidelberg2003PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuc
6、hnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:Camera-readyTEXoutputbytheauthorSPIN:1096245941/3142/du-543210-Printedonacid-freepaperPrefaceThegoalofthisresearchmonographistodevelopageneralcombination,de-composition,andstructuretheoryforbr
7、anchedcoveringsofthetwo-spheretoitself,regardedasthecombinatorialandtopologicalobjectswhichariseintheclassificationofcertainholomorphicdynamicalsystemsontheRie-mannsphere.Itisintendedforresearchersinterestedintheclassificationofthosecomplexone-dimens
