A new cohomology for the Morse theory of strongly indefinite functionals on Hilbert spaces
Keywordsgeneralized cohomology, Morse index, Morse relations, strongly indefinite functionals
AbstractA generalized cohomology, similar to Szulkin's cohomology but with more general functorial properties, is constructed. This theory is used to define a relative Morse index and to prove relative Morse relations for strongly indefinite functionals on Hilbert spaces.
How to Cite
ABBONDANDOLO, Alberto. A new cohomology for the Morse theory of strongly indefinite functionals on Hilbert spaces. Topological Methods in Nonlinear Analysis [online]. 1 June 1997, T. 9, nr 2, s. 325–382. [accessed 1.12.2021].
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