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1999
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From Subtrees to SupertreesSebastian B¨ockerUniversität BielefeldGraduiertenkollegStrukturbildungs−prozesseDissertationzur Erlangung des Doktorgradesder Fakult¨at fu¨r MathematikUniversit¨at BielefeldBielefeld, im August 1999ii1. Gutachter: Prof. Andreas W.M. Dress2. Gutachter: Prof. Michael A. Steel (Christchurch, Neuseeland)3. Gutachter: Prof. Thomas ZinkDatum der mu¨ndlichen Pru¨fung: 28. Januar 2000Gedruckt auf alterungsbesta¨ndigem Papier 1 ISO 9706.AcknowledgmentsThis thesis was written under the supervision of Prof. Andreas W.M. Dress.Parts of this thesis have been published in advance [BD00b,BDS99], and furtherpapers are forthcoming [BBDS,BD,B¨oca,B¨ocb].Theworkwascarried outwhilebeingsupportedbythe“Graduiertenkolleg Struk-turbildungsprozesse”thatispartoftheCenterforInterdisciplinaryResearchonStruc-ture Formation (FSPM) at the University of Bielefeld, Germany.First and foremost, I wish to thank my supervisor Professor Andreas Dress.Without his ideas, comments, and contributions this thesis would not exist. I alsothank him for bringing me into contact with the topic, for fruitful discussions, andfor maintaining my enthusiasm. His promotion made it possible for me to go toChristchurch, New Zealand, for three months.Special thanks go to Dr. Mike Steel who asked the right question at the righttimeandtherebygavemethechancetowritethisthesis.
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01 janvier 1999