14 citations · 38 across the 10 of their papers we have counts for
4 papers · 1 filter
On the Universal Property of Derived Manifolds
David Carchedi, Pelle Steffens
It is well known that any model for derived manifolds must form a higher category. In this paper, we propose a universal property for this higher category, classifying it up to equ…
On The Homotopy Type of Higher Orbifolds and Haefliger Classifying Spaces
David Carchedi
We describe various equivalent ways of associating to an orbifold, or more generally a higher étale differentiable stack, a weak homotopy type. Some of these ways extend to arbitra…
Sheaf Theory for Étale Geometric Stacks
David Carchedi
We generalize the notion of a small sheaf of sets over a topological space or manifold to define the notion of a small stack of groupoids over an étale topological or differentiabl…
Compactly Generated Stacks: A Cartesian Closed Theory of Topological Stacks
David Carchedi
A convenient bicategory of topological stacks is constructed which is both complete and Cartesian closed. This bicategory, called the bicategory of compactly generated stacks, is t…