Classifying spaces for sheaves of simplicial groupoids

DOI10.1016/0022-4049(93)90091-7zbMath0784.18005OpenAlexW2001308333MaRDI QIDQ687581

André Joyal, Myles Tierney

Publication date: 19 October 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(93)90091-7

zbMATH Keywords

classifying spacessheaf cohomologyprincipal bundlesamenable completionsheaves of simplicial groupoids

Mathematics Subject Classification ID

Topoi (18B25) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items (5)

Quillen closed model structures for sheaves ⋮ The development and prospects for category theory ⋮ Open maps of toposes ⋮ On the homotopy theory of sheaves of simplicial groupoids ⋮ Principal \(\infty\)-bundles: presentations

Cites Work

• Toposes without points
• Homotopical algebra
• Etale homotopy
• Strong stacks and classifying spaces
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