The Conley index and spectral sequences

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Mar 2005Publisher:Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus UniversityJournal:Topological Methods in Nonlinear Analysis, volume 25, page 195 (issn: 1230-3429,

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Authors: Bartłomiejczyk, Piotr;

doi: 10.12775/tmna.2005.010

The Conley index and spectral sequences

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Abstract

The author proves the existence and uniqueness of spectral sequences for the filtration associated to the totally ordered Morse decomposition of an isolated invariant set.

Keywords

Index theory for dynamical systems, Morse-Conley indices, spectral sequence, filtered differential module, Morse decomposition, General theory of spectral sequences in algebraic topology, Conley index

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