Higher stack
Toën suggests the following principle:[1]
As 1-stacks appear as soon as objects must be classified up to isomorphism, higher stacks appear as soon as objects must be classified up to a notion of equivalence which is weaker than the notion of isomorphism.
Sometimes a derived stack (or spectral stack) is defined as a higher stack of some sort.
References
- ^ Bertrand Toën, Higher and Derived Stacks: A Global Overview, arXiv:math /0604504
- Carlos Simpson, Algebraic (geometric) n-stacks, 1996, arXiv:alg-geom/9609014.
- André Hirschowitz, Carlos Simpson, Descente pour les n-champs (Descent for n-stacks), 1998, arXiv:math/9807049.
Further reading
- https://ncatlab.org/nlab/show/higher+stack
- David Carchedia, On the étale homotopy type of higher stacks, Higher Structures 5(1):121–185, 2021. [1]
 | This category theory-related article is a stub. You can help Wikipedia by expanding it. |