Home > Science & Mathematics > Mathematics > Topologie: Grundbegriffe Der Mengentheoretischen Topologie. Topologie Der Komplexe. Topologische Invarianzsätze Und Anschließende Begriffsbildungen. Verschling
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Topologie: Grundbegriffe Der Mengentheoretischen Topologie. Topologie Der Komplexe. Topologische Invarianzsätze Und Anschließende Begriffsbildungen. Verschling

Topologie: Grundbegriffe Der Mengentheoretischen Topologie. Topologie Der Komplexe. Topologische Invarianzsätze Und Anschließende Begriffsbildungen. Verschling

          
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About the Book

In den 40 Jahren, die seit dem Erscheinen der "Analysis Situs" von POINCARE vergangen sind, hat sich die Topologie nicht nur zu einer bedeutenden, sondern auch zu einer auBerordentlich umfangreichen mathematischen Disziplin entwickelt; die wichtigsten Resultate dieser Entwicklung harren einer Darstellung, die gleichzeitig in die Vergangen- heit und in die Zukunft weist: . in die Vergangenheit als Zusammen- fassung dessen, was heute inhaltlich abgeschlossen vorliegt; in die Zu- kunft als zuverHissige Grundlage fUr weitere Forschungen. Die an und fUr sich schwierige Aufgabe, eine solche Darstellung eines immerhin jungeh Zweiges der mathematischen Wissenschaft zu geben, wird im Falle der Topologie' dadurch besonders erschwert, daB die Entwickhmg der Topo- logie in zwei voneinander ganzlich getrennten Richtungen vor sich ge- gangen ist: in der algebraisch-kombinatorischen und in der mengen- theoretischen - von denen jede in mehrere weitere Zweige zerfallt, 'welche nur lose miteinander zusammenhangen. Als Marksteine in der Entwicklung der mengentheoretischen Topo- logie diirfen der Bericht fiber Punktmengen von SCHOEN FLIES (1908) und das klassische Buch von HAUSDORFF ("Grundzfige der Mengen- lehre", 1914) gelten. In den letzten J ahren sind die Bficher von FREcHET ("Espaces abstra: rts"), von MENGER ("Dimensionstheorie", "Kurven- theorie") und von KURATOWSKI ("Topologie I") erschienen.


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Product Details
  • ISBN-13: 9783642656156
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Edition: 1935 ed.
  • Language: German
  • Returnable: N
  • Spine Width: 34 mm
  • Weight: 911 gr
  • ISBN-10: 3642656153
  • Publisher Date: 15 Nov 2011
  • Binding: Paperback
  • Height: 234 mm
  • No of Pages: 638
  • Series Title: Grundlehren Der Mathematischen Wissenschaften
  • Sub Title: Grundbegriffe Der Mengentheoretischen Topologie. Topologie Der Komplexe. Topologische Invarianzsätze Und Anschließende Begriffsbildungen. Verschling
  • Width: 156 mm


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Topologie: Grundbegriffe Der Mengentheoretischen Topologie. Topologie Der Komplexe. Topologische Invarianzsätze Und Anschließende Begriffsbildungen. Verschling
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