Differential Topology

This book presents a systematic and comprehensive account of the theory of differentiable manifolds and provides the necessary background for the use of fundamental differential topology tools. The text includes, in particular, the earlier works of Stephen Smale, for which he was awarded the Fields...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mukherjee, Amiya (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Edición:2nd ed. 2015.
Temas:
Global analysis (Mathematics).
Manifolds (Mathematics).
Global Analysis and Analysis on Manifolds.
Manifolds and Cell Complexes.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • 1.Basic Concepts of Manifolds
  • 2.Approximation Theorems and Whitney s Embedding
  • 3.Linear Structures on Manifolds
  • 4.Riemannian Manifolds
  • 5.Vector Bundles on Manifolds
  • 6.Transversality
  • 7.Tubular Neighbourhoods
  • 8.Spaces of Smooth Maps
  • 9.Morse Theory
  • 10.Theory of Handle Presentations
  • Bibliography
  • Index. .

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