An Invitation to Morse Theory

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This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic topology. The book is divided into three conceptually distinct parts. The first part contains the foundations of Morse theory. The second part consists of applicat...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Nicolaescu, Liviu (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: New York, NY : Springer New York : Imprint: Springer, 2011.
Édition:2nd ed. 2011.
Collection:Universitext,
Sujets:
Global analysis (Mathematics).
Manifolds (Mathematics).
Geometry, Differential.
Global Analysis and Analysis on Manifolds.
Differential Geometry.
Manifolds and Cell Complexes.
Accès en ligne:Texto Completo
Table des matières:
  • Preface
  • Notations and Conventions
  • 1 Morse Functions
  • 2 The Topology of Morse Functions
  • 3 Applications
  • 4 Morse-Smale Flows and Whitney Stratifications
  • 5 Basics of Complex Morse Theory
  • 6 Exercises and Solutions
  • References
  • Index.

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