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Kurventheorie
Karl Menger
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AMS Chelsea Publishing
1932; 374 pp; hardcover
Reprint/Revision History:
reprinted with corrections 1967
ISBN-10: 0-8284-0172-1
ISBN-13: 978-0-8284-0172-2
List Price: US$41
Member Price: US$36.90
Order Code: CHEL/172
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This classic book is a treatise on the topology of curves. The class of curves considered is quite broad, including smooth curves, rational curves, trees, Cantor curves and so on. It was one of a small handful of landmark books on topology, in particular point-set topology, that were published during the important period of the 1930s. Many of the properties of curves explored by Menger are of renewed importance today in various contexts, notably the topology of dynamics.

Table of Contents

  • Die alten Kurvenbegriffe
  • Der neue Kurvenbegriff
  • Die Verzweigungsordnung der Kurvenpunkte
  • Über die Summe von Kurven
  • Zerlegungs-, Trennungs- und Deformationseigenschaften von Kurven
  • Das Fundamentaltheorem über den kurventheoretischen Ordnungsbegriff
  • Über erblichen Zusammenhang im Kleinen
  • Die regulären Kurven
  • Die rationalen Kurven
  • Die Baumkurven
  • Die zyklischen Kontinua
  • Die Universalkurve
  • Schluß
  • Sachverzeichnis
  • Verzeichnis einiger Symbole
  • Autorenverzeichnis
  • Nachwort
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