Wendt, Matthias Classifying spaces and fibrations of simplicial sheaves. (English) Zbl 1278.18025 J. Homotopy Relat. Struct. 6, No. 1, 1-38 (2011). Summary: In this paper, we discuss the construction of classifying spaces of fibre sequences in model categories of simplicial sheaves. One construction proceeds via Brown representability and provides a classification in the pointed model category. The second construction is given by the classifying space of the monoid of homotopy self-equivalences of a simplicial sheaf and provides the unpointed classification. Cited in 3 Documents MSC: 18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) 55R15 Classification of fiber spaces or bundles in algebraic topology PDFBibTeX XMLCite \textit{M. Wendt}, J. Homotopy Relat. Struct. 6, No. 1, 1--38 (2011; Zbl 1278.18025) Full Text: arXiv Link