nLab
higher stack

Contents

Context

(,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

Locality and descent

Contents

Idea

Classically, the theory of stacks was motivated by the study of moduli problems for which objects are classified up to isomorphism. Higher stacks are a generalization where objects are classified up to some notion of equivalence, like complexes up to quasi-isomorphism, topological spaces up to weak homotopy equivalence, or abelian categories up to equivalence of categories.

See also

References

Last revised on June 14, 2018 at 03:25:52. See the history of this page for a list of all contributions to it.