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 Classification (mathematics)

ID: classification-mathematics

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Classification (mathematics) by Ciro Santilli 37 Updated 2025-07-16
In mathematics, a "classification" means making a list of all possible objects of a given type.
Classification results are some of Ciro Santilli's favorite: Section "The beauty of mathematics".
Examples:
  • classification of finite simple groups
  • classification of regular polytopes
  • classification of closed surfaces, and more generalized generalized Poincaré conjectures
  • classification of associative real division algebras
  • classification of finite fields
  • classification of simple Lie groups
  • classification of the wallpaper groups and the space groups
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