Closed Category - Examples

Examples

  • Cartesian closed categories are closed categories. In particular, any topos is closed. The canonical example is the category of sets.
  • Compact closed categories are closed categories. The canonical example is the category FdVect with finite dimensional vector spaces as objects and linear maps as morphisms.
  • More generally, any monoidal closed category is a closed category. In this case, the object is the monoidal unit.

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