nLab
étale infinity-groupoid

Context

Étale morphisms

(,1)(\infty,1)-Topos Theory

(∞,1)-topos theory

Background

Definitions

Characterization

Morphisms

Extra stuff, structure and property

Models

Constructions

structures in a cohesive (∞,1)-topos

Contents

Idea

An étale ∞-groupoid is meant to be an ∞-groupoid-analog to an étale groupoid.

For details see at V-manifold.

References

A formalization of the petit (∞,1)-toposes corresponding to étale ∞-groupoids is in

A characterization of étale ∞-groupoids as objects in a big (∞,1)-topos is given in

and aspects of their geometric realization/shape modality are discussed in

A formalization as V-manifolds in terms of differential cohesion is discussed at differential cohesion – Structures – cohesive étale ∞-groupoids.

The formalization of this in homotopy type theory is discussed in

Revised on July 3, 2017 15:28:53 by Urs Schreiber (88.77.226.246)