Summary
We present a new approach to the Morse theory which is based on a generalization of the Conley index to non locally compact spaces. The variant of the Morse theory which we obtain seems suitable for the applications to nonlinear functionals analysis. Some applications are given here; they mainly concern the study of periodic solutions of second order Hamiltonian systems. Other applications are in some quoted papers.
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Benci, V. A new approach to the Morse-Conley theory and some applications. Annali di Matematica pura ed applicata 158, 231–305 (1991). https://doi.org/10.1007/BF01759307
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DOI: https://doi.org/10.1007/BF01759307