ENGLISH

Lectures on Morse Homology

By Deborah AJAYI , David Hurtubise

Book information

Publisher
Springer
Year
2004
ISBN
1402026951, 9781402026959
Language
english
Format
PDF
Filesize
10 MB (10173933 bytes)
Series
Texts in the Mathematical Sciences (closed)
Edition
2004
Pages
326\325
Time added
2013-12-27 22:03:56

Description

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.

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