Morse theory and its application to homotopy theory
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The following is a LaTeX version of Bott’s 1960 book on Morse theory which is no longer in print. Some proofs are supplemented and some ambiguous notations are fixed.
[1] R. Bott. An application of the Morse theory to the topology of Lie-groups , 1956 .
[2] N. Steenrod. Topology of Fibre Bundles , 1951 .
[3] Raoul Bott,et al. Applications of the Theory of Morse to Symmetric Spaces , 1958 .
[4] Marston Morse. The Calculus of Variations in the Large , 1934 .