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Dieser Artikel befasst sich mit den Gründen der reellen -dimensionalen Möbiusgeometrie. Hier werden 2 Behauptungen bewiessen: 1) Die Möbiustransformationen sind die einzigen -spärentreuen Bijektionen von ; 2) Jede Möbiumstransformation ist Produkt von maximal Spiegelungen, wobei neben Spiegelungen an Hyperebenen höchsterns zwei Spiegelungen an Hypersphären benötigt werden.
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