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Lectures on Morse Homology /

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This book presents in great detail all the results one needs to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. Most of these results can be found scattered throughout the literature dating from the mid to late 1900's in some form or othe...

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Bibliographic Details
Main Author: Banyaga, Augustin
Corporate Author: SpringerLink (Online service)
Other Authors: Hurtubise, David
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands, 2004.
Series:Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series ; 29.
Subjects:
Mathematics.
Topological groups.
Global analysis.
Differential equations.
Algebraic topology.
Cell aggregation > Mathematics.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preface
  • Introduction
  • The CW-Homology Theorem
  • Basic Morse Theory
  • The Stable/Unstable Manifold Theorem
  • Basic Differential Topology
  • Morse-Smale Functions
  • The Morse Homology Theorem
  • Morse Theory on Grassmann Manifolds
  • An Overview of Floer Homology Theories
  • Hints and References for Selected Problems
  • Bibliography
  • Symbol Index
  • Index.