nLab entire morphism in a dagger 2-poset

Contents

Idea

A morphism similar to how entire relations are defined in Rel

Definition

A morphism $f \in hom_A(a,b)$ of a dagger 2-poset $A$ is an entire morphism if $1_a \leq f^\dagger \circ f$.

See also

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