| 词条 | Arnold's spectral sequence |
| 释义 |
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{{expand section|date=July 2015}}References1. ^Vladimir Arnold "[https://link.springer.com/article/10.1007%2FBF01075605 Spectral sequence for reduction of functions to normal form]", Funct. Anal. Appl. 9 (1975) no. 3, 81–82. {{Algebra-stub}}2. ^Victor Goryunov, Gábor Lippner, "Simple framed curve singularities" in {{cite book|title=Geometry and Topology of Caustics|url=https://books.google.com/books?id=J0TvAAAAMAAJ|year=2006|publisher=Polish Academy of Sciences|pages=86–91}} 3. ^Majid Gazor, Pei Yu, "Spectral sequences and parametric normal forms", Journal of Differential Equations 252 (2012) no. 2, 1003–1031. 2 : Spectral sequences|Singularity theory |
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