On cohomology classes of algebraic functions invariant under Tschirnhausen transformations

  • Vladimir I. Arnold
Chapter
Part of the Vladimir I. Arnold - Collected Works book series (ARNOLD, volume 2)

Abstract

Define a problem to be a decomposition of a functional space into subsets. For instance, in the problem of stability of an equilibrium for systems of ordinary differential equations one deals with the decomposition of the space of vector fields with zero at O into two classes: the class of fields for which the point O is stable, and the class of fields for which the point O is unstable.

Keywords

Vector Bundle Cohomology Class Homology Class Braid Group Algebraic Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Russ. Acad. Sciences 1970

Authors and Affiliations

  • Vladimir I. Arnold
    • 1
  1. 1.HeidelbergGermany

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