nLab functional morphism in a dagger 2-poset

Contents

Idea

A morphism similar to how functional relations are defined in Rel

Definition

A morphism $f \in hom_A(a,b)$ of a dagger 2-poset $A$ is a functional morphism or a partial map if $f \circ f^\dagger \leq 1_b$.

See also

• onto morphism in a dagger 2-poset
• entire morphism in a dagger 2-poset
• injective morphism in a dagger 2-poset
• map in a dagger 2-poset