Conley's spectral sequence via the sweeping algorithm

DOI10.1016/j.topol.2010.05.008zbMath1201.37019OpenAlexW1994636912MaRDI QIDQ989093

Mariana R. Da Silveira, Ketty Abaroa de Rezendre, Margarida Pinheiro Mello

Publication date: 27 August 2010

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2010.05.008

zbMATH Keywords

integer programmingspectral sequencesconnection matrixconley indexsweeping algorithm

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (5)

Cancellations for circle-valued Morse functions via spectral sequences ⋮ Continuation and bifurcation associated to the dynamical spectral sequence ⋮ Algebraic and dynamical cancellations associated to spectral sequence ⋮ A global two-dimensional version of Smale’s cancellation theorem via spectral sequences ⋮ Homotopical Cancellation Theory for Gutierrez-Sotomayor Singular Flows

Cites Work

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• Continuation to the minimal number of critical points in gradient flows
• The Connection Matrix Theory for Morse Decompositions
• The Continuation Theory for Morse Decompositions and Connection Matrices
• Spectral sequences in Conley’s theory
• Connected Simple Systems and The Conley Index of Isolated Invariant Sets
• Morse decompositions and connection matrices
• Maximizing Submodular Set Functions: Formulations and Analysis of Algorithms
• Algebraic transition matrices in the Conley index theory

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