Topological and Smooth Stacks
Differential Geometry
2007-05-23 v1 Mathematical Physics
K-Theory and Homology
math.MP
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).
Cite
@article{arxiv.math/0306176,
title = {Topological and Smooth Stacks},
author = {David Metzler},
journal= {arXiv preprint arXiv:math/0306176},
year = {2007}
}