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Arnold's spectral sequence

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In mathematics, Arnold's spectral sequence (also spelled Arnol'd) is a spectral sequence used in singularity theory and normal form theory as an efficient computational tool for reducing a function to canonical form near critical points. It was introduced by Vladimir Arnold in 1975.[1][2][3]

Definition

References

  1. ^ Vladimir Arnold "Spectral sequence for reduction of functions to normal form", Funct. Anal. Appl. 9 (1975) no. 3, 81–82.
  2. ^ Victor Goryunov, Gábor Lippner, "Simple framed curve singularities" in Geometry and Topology of Caustics. Polish Academy of Sciences. 2006. pp. 86–91.
  3. ^ Majid Gazor, Pei Yu, "Spectral sequences and parametric normal forms", Journal of Differential Equations 252 (2012) no. 2, 1003–1031.
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