数学范畴化 Categorification

Math Online Tom Circle

https://www.zhihu.com/question/31823394/answer/53592663?from=timeline

Key Points:

  • Category and Functor are above the underlying algebraic structures (Set, Group, Ring, Vector Spaces, etc), study the relations between these structures.
  • Early 19 CE mathematicians before “Category Theory” already knew there is 1:1 mapping between the Field Extension and Galois Group.

Treat Structures and Relation between them (Functors) on equal f

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