Contents

# Contents

## Idea

The categorical semantics of real-cohesive homotopy type theory.

## Definition

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

## 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.