Topological and Smooth Stacks

Abstract

We review the basic definition of a stack and apply it to the topological and smooth settings. We then address two subtleties of the theory: the correct definition of a ``stack over a stack'' and the distinction between small stacks (which are algebraic objects) and large stacks (which are generalized spaces).

Cited by in corpus (4)

• Foundations of Topological Stacks I
• Poisson geometry and Morita equivalence
• Integrating Poisson manifolds via stacks
• On state sums, internalisation and unification