Categorical Properties

Any property which can be expressed in term of category, objects, morphism and composition.

• Dual: \(\D\) is \(\C\) with reversed morphisms.
• Initial: \(Z\in\ob{\C}\) s.t. \(∀Y∈\ob{\C}, \#\hom{Z,Y}=1\)
  Unique ("up to isormophism")
• Terminal: \(T\in\ob{\C}\) s.t. \(T\) is initial in the dual of \(\C\)
• Functor: structure preserving mapping between categories
• ...