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Book synopsis

This book offers a detailed presentation of results needed to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. The text presents results that were formerly scattered in the mathematical literature, in a single reference with complete and detailed proofs. The core material includes CW-complexes, Morse theory, hyperbolic dynamical systems (the Lamba-Lemma, the Stable/Unstable Manifold Theorem), transversality theory, the Morse-Smale-Witten boundary operator, and Conley index theory.

Book details

Book category Books in English Mathematics & science Mathematics Topology

• Full title: Lectures on Morse Homology
• Author: Augustin Banyaga, David Hurtubise
• Language: English
• Binding: Paperback
• Number of pages: 326
• EAN: 9789048167050
• ISBN: 9048167051
• ID: 01974974
• Publisher: Springer Netherlands
• Weight: 522 g
• Dimensions: 240 × 160 × 17 mm
• Date of publishing: 20. October 2010

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