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Lectures on Morse Homology
عنوان کتاب: Lectures on Morse Homology
مولف: Deborah AJAYI David Hurtubise
ناشر: Springer
زبان: English
سال: 2004
شابک: 1402026951, 9781402026959
حجم فایل: 9.7 MB
نوع فایل: pdf
تعداد صفحات: 326

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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