nLab unital dagger 2-poset

Context

Higher category theory

higher category theory

Basic concepts

Basic theorems

Applications

Models

Morphisms

Functors

Universal constructions

Extra properties and structure

1-categorical presentations

Contents

Definition

A unital dagger 2-poset is a dagger 2-poset CC with an object 𝟙Ob(C)\mathbb{1} \in Ob(C) such that for every morphism fHom(𝟙,𝟙)f \in Hom(\mathbb{1}, \mathbb{1}), f1 𝟙f \leq 1_\mathbb{1}, and for every object AOb(C)A \in Ob(C), there is an onto morphism u AHom(A,𝟙)u_A \in Hom(A,\mathbb{1}).

Examples

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

See also

Created on May 3, 2022 at 16:50:38. See the history of this page for a list of all contributions to it.