Article contents
Higher principal bundles
Published online by Cambridge University Press: 22 February 2006
Abstract
We define torsors for sheaves of simplicial groups and sheaves of groupoids enriched in simplicial sets, and give classification results for these torsors in terms of the homotopy theory of simplicial sheaves. The proofs of the classification results use a new, general approach to cocycles taking values in simplicial sheaves. We prove a homotopy classification result for gerbes locally isomorphic to a fixed sheaf of groups.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 140 , Issue 2 , March 2006 , pp. 221 - 243
- Copyright
- 2006 Cambridge Philosophical Society
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