Lectures on Morse Homology

Lectures on Morse Homology
Author: Augustin Banyaga
Publisher: Springer Science & Business Media
Total Pages: 330
Release: 2013-03-09
Genre: Mathematics
ISBN: 140202696X


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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.


Lectures on Morse Homology
Language: en
Pages: 344
Authors: Augustin Banyaga
Categories: Mathematics
Type: BOOK - Published: 2004-10-29 - Publisher: Springer Science & Business Media

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This book offers a detailed presentation of results needed to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy t
Lectures on Morse Homology
Language: en
Pages: 330
Authors: Augustin Banyaga
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

GET EBOOK

This book offers a detailed presentation of results needed to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy t
Morse Homology
Language: en
Pages: 243
Authors: Schwarz
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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1.1 Background The subject of this book is Morse homology as a combination of relative Morse theory and Conley's continuation principle. The latter will be used
Morse Theory. (AM-51), Volume 51
Language: en
Pages: 163
Authors: John Milnor
Categories: Mathematics
Type: BOOK - Published: 2016-03-02 - Publisher: Princeton University Press

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One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years.
Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology
Language: en
Pages: 476
Authors: Paul Biran
Categories: Mathematics
Type: BOOK - Published: 2006-02-12 - Publisher: Springer Science & Business Media

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The papers collected in this volume are contributions to the 43rd session of the Seminaire ́ de mathematiques ́ superieures ́ (SMS) on “Morse Theoretic Met