A History of Algebraic and Differential Topology, 1900 - 1960

Since the early part of the 20th century, topology has gradually spread to many other branches of mathematics, and this book demonstrates how the subject continues to play a central role in the field. Written by a world-renowned mathematician, this classic text traces the history of algebraic topolo...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Dieudonné, Jean (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2009.
Edición:1st ed. 2009.
Colección:Modern Birkhäuser Classics,
Temas:
Algebraic topology.
Geometry, Differential.
Mathematics.
History.
Algebraic Topology.
Differential Geometry.
History of Mathematical Sciences.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Simplicia1 Techniques and Homology
  • The Work of Poincar#x00E9;
  • The Build-Up of #x201C;Classical#x201D; Homology
  • The Beginnings of Differential Topology
  • The Various Homology and Cohomology Theories
  • The First Applications of Simplicia1 Methods and of Homology
  • The Concept of Degree
  • Dimension Theory and Separation Theorems
  • Fixed Points
  • Local Homological Properties
  • Quotient Spaces and Their Homology
  • Homolagy of Groups and Homogeneous Spaces
  • Applications of Homology to Geometry and Analysis
  • Homotopy and its Relution to Homology
  • Fundamental Group and Covering Spaces
  • Elementary Notions and Early Results in Homotopy Theory
  • Fibrations
  • Homology of Fibrations
  • Sophisticated Relations between Homotopy and Homology
  • Cohomology Operations
  • Generalized Homology and Cohomology.

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