A history of algebraic and differential topology : 1900-1960

Gardado en:
Detalles Bibliográficos
Autor Principal: Dieudonné, Jean, 1906-1992, mathématicien
Formato: Livre papier
Idioma:Anglais
Publicado: Boston ; Basel : Birkhäuser C 1989.
Sujets:
Autres localisations: Voir dans le Sudoc
Table des matières:
  • Part I: Simplicial Techniques and Homology
  • The Work of Poincaré
  • The Build-Up of Classical Homology
  • The Beginnings of Differential Topology
  • The Various Homology and Cohomology Theories
  • Part 2: 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
  • Part 3: 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