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Topological and Smooth Stacks

David Metzler
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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).

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David Metzler. 2003-06-10. Topological and Smooth Stacks. https://arxiv.org/abs/math/0306176

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