nLab well-pointed topical 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 well-pointed topical dagger 2-poset is an elementarily topical dagger 2-poset CC such that for every object AOb(C)A \in Ob(C) and BOb(C)B \in Ob(C) and maps fMap C(A,B)f \in Map_C(A, B), gMap C(A,B)g \in Map_C(A, B) and xMap C(𝟙,A)x \in Map_C(\mathbb{1}, A), fx=gxf \circ x = g \circ x implies f=gf = g.

Examples

The dagger 2-poset Rel of sets and relations is a well-pointed topical dagger 2-poset.

See also

Created on May 3, 2022 at 17:26:37. See the history of this page for a list of all contributions to it.