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On the variations of the Betti numbers of regular levels of Morse flows

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Publication:633024
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DOI10.1016/j.topol.2011.01.021zbMath1211.54050OpenAlexW2051214376MaRDI QIDQ633024

O. Manzoli Neto, Gioia M. Vago, Ketty Abaroa de Rezendre, Maria Alice Bertolim

Publication date: 31 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.01.021


zbMATH Keywords

Conley indexBetti numbershandle decompositionOgasa invariant


Mathematics Subject Classification ID

Index theory for dynamical systems, Morse-Conley indices (37B30)


Related Items

Poincaré-Hopf inequalities for periodic orbits ⋮ Lyapunov graphs for circle valued functions ⋮ A global two-dimensional version of Smale’s cancellation theorem via spectral sequences



Cites Work

  • Unnamed Item
  • Minimal Morse flows on compact manifolds
  • Isolating blocks for Morse flows
  • Nonsingular Smale flows on \(S^ 3\)
  • Lectures on algebraic topology. Transl. from the Russian by Ekaterina Pervova
  • Morse Theory. (AM-51)
  • Gradient-like flows on high-dimensional manifolds
  • Lyapunov graph continuation
  • A new invariant and decompositions of manifolds
  • Poincaré–Hopf and Morse inequalities for Lyapunov graphs
  • On the Kunneth Formula and Functorial Dependence in Algebraic Topology
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