nLab injective morphism in a dagger 2-poset

Contents

Idea

A morphism similar to how injective relations are defined in Rel

Definition

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

See also

• onto morphism in a dagger 2-poset
• functional morphism in a dagger 2-poset
• entire morphism in a dagger 2-poset