nLab real-cohesive (infinity,1)-topos

Redirected from "cohesive model topos".
Note: cohesive (infinity,1)-topos and real-cohesive (infinity,1)-topos both redirect for "cohesive model topos".
Contents

Context

Cohesive \infty-Toposes

Discrete and concrete objects

Contents

Idea

The categorical semantics of real-cohesive homotopy type theory.

 Definition

A cohesive (infinity,1)-topos HH is a real cohesive (infinity,1)-topos if HH has a Dedekind real numbers object \mathbb{R} and it satisfies axiom R-flat: for each infinity-groupoid AHA \in H, AA is discrete if and only if the morphism c:Hom(A,A )c \colon Hom(A,A^\mathbb{R}) is an equivalence.

See also

References

Last revised on November 15, 2022 at 13:52:54. See the history of this page for a list of all contributions to it.