Open AccessA new cohomology for the Morse theory of strongly indefinite functionals on Hilbert spaces
Author(s) -
Alberto Abbondandolo
Publication year - 1997
Publication title -
topological methods in nonlinear analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.623
H-Index - 23
ISSN - 1230-3429
DOI - 10.12775/tmna.1997.017
Subject(s) - mathematics , cohomology , morse code , morse theory , circle valued morse theory , pure mathematics , hilbert space , algebra over a field , electrical engineering , engineering
A generalized cohomology, similar to Szulkin's cohomology but with moregeneral functorial properties, is constructed. This theory is used todefine a relative Morse index and to prove relative Morse relations forstrongly indefinite functionals on Hilbert spaces.
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