nLab locally Heyting-algebraic 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 2-poset CC is locally Heyting-algebraic if for every object A:Ob(C)A:Ob(C) and B:Ob(C)B:Ob(C), the hom-object Hom(A,B)Hom(A,B) is a Heyting algebra.

Examples

The 2-poset Rel of sets and relations is locally Heyting-algebraic.

See also

Last revised on June 7, 2022 at 02:59:36. See the history of this page for a list of all contributions to it.