Relatório de pesquisa 14/08
Spectral sequences in Conley's theory, O. Cornea, K. A. de Rezende, and M. R. da Silveira, submitted Aug. 18.
Abstract
In this work we present an algorithm for a chain complex C and
its differential given by a connection matrix which determines an
associated spectral sequence (E,d). More specifically, a system
spanning E in terms of the original basis of C is obtained as well as
the identification of all differentials d. In exploring the dynamical
implication of a nonzero differential, we prove the existence of a path
joining two singularities in the case that a direct connection by
a flow line does not exist. This path is made up of juxtaposed orbits
of the flow and of the reverse flow and which proves to be important in
some applications.
Mathematics Subject Classifications
(2000): 55T05; 37B30; 58F09.
Keywords: Connection matrix, spectral sequences
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August 18, 2008
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