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Geometrische Ordnungen by Otto Haupt, Hermann Künneth

Geometrische Ordnungen

by Otto Haupt , Hermann Künneth
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Book cover type: Paperback
  • ISBN13: 9783662391501
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 440
  • Original Price: EUR 46.72
  • Language: German
  • Edition: N/A
  • Item Weight: 613 grams
  • BISAC Subject(s): Geometry / General

Die Fragestellungen aus dem Gebiet der geometrischen Ordnungen (franzosisch: "geometrie finie") sind erwachsen aus solchen der alge- braischen Geometrie und der Differentialgeometrie, und zwar aus dem Bestreben, dengeometrischen Gehalteinschlii. giger SatzeherauszuschaJen; man gelangt dabei vielfach zu topologischen Problemen. Aus den in vielen Zeitschriften verstreuten Arbeiten uber geometrische Ordnungen solI hier erstmals eine Auswahl gegeben werden, wobei wir auch einige neue Satze sowie noch unveroffentlichte Beweise fur altere Satze bringen. Eine zusammenfassende Darstellung alIer bisherigen Ergebnisse hatte den zur Verfugung stehenden Raum weit uberschritten. Um aber einen, wenn auch nicht vollstandigen Dberblick wenigstens uber neuere Unter- suchungen zu geben, werden im letzten Teil des Buches Berichte uber Arbeiten von D. DERRY (Vancouver), F. FABRICIUS-BJERRE (Kopen- hagen), A. MARCHAUD (Paris) und P. SCHERK (Toronto) gebracht; wir mochten den eben genannten Herren auch an dieser Stelle herzlichst danken fur die groBe Liebenswiirdigkeit, mit der sie uns bei der Ab- fassung dieser Berichte geholfen haben. Bezuglich alterer Arbeiten, ins- besondere der von C. JUEL und G. v. SZ. -NAGY, auch uber Flachen, kann auf den ausfiihrlichen Bericht des letzteren im 53. Bd. (1943) der Jahresberichte der Deutschen Mathematiker-Vereinigung verwiesen werden. Herro H. -J. KOWALSKY verdanken wir einige Bemerkungen zum Abschn. 1. 1. 1. SchlieBlich gilt unser Dank Herro Professor Dr. F. K. SCHMIDT fur die Aufforderung, das Buch zu schreiben, sowie dem Verlag fUr sein Entgegenkommen unseren Wiinschen gegenuber. Erlangen, im September 1966 HAUPT KUNNETH Inhaltsverzeichnis Seite Verwendete Symbole VIII Einleitung . . I. Ebene Bogen, Kurven und Kontinua 1.

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