Homotopy Type Theory unital dagger 2-poset > history (Rev #1)

Contents

Definition

A unital dagger 2-poset is a dagger 2-poset CC with an object 𝟙:Ob(C)\mathbb{1}:Ob(C) such that for every morphism f:Hom(𝟙,𝟙)f:Hom(\mathbb{1}, \mathbb{1}), f1 𝟙f \leq 1_\mathbb{1}, and for every object A:Ob(C)A:Ob(C), there is a morphism u:A𝟙u:A \to \mathbb{1} such that 1 Auu 1_A \leq u \circ u^\dagger.

Examples

The dagger 2-poset of sets and relations is a unital dagger 2-poset.

See also

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