Morse cohomology in a Hilbert space via the Conley index

Maciej Starostka

doi:10.1007/s11784-015-0216-5

Morse cohomology in a Hilbert space via the Conley index

Abstract

The main theorem of this paper states that Morse cohomology groups in a Hilbert space are isomorphic to the cohomological Conley index. It is also shown that calculating the cohomological Conley index does not require finite-dimensional approximations of the vector field. Further directions are discussed.

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Maciej Starostka dr inż.

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DOI:: Digital Object Identifier (open in new tab) 10.1007/s11784-015-0216-5
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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: Journal of Fixed Point Theory and Applications no. 17, edition 2, pages 425 - 438,
ISSN: 1661-7738
Language:: English
Publication year:: 2015
Bibliographic description:: Starostka M.: Morse cohomology in a Hilbert space via the Conley index// Journal of Fixed Point Theory and Applications. -Vol. 17, iss. 2 (2015), s.425-438
DOI:: Digital Object Identifier (open in new tab) 10.1007/s11784-015-0216-5
Verified by:: Gdańsk University of Technology