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.
General
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