On the homotopy theory of sheaves of simplicial groupoids

DOI10.1017/S0305004100074855zbMath0866.55023OpenAlexW2104972977MaRDI QIDQ4892433

André Joyal, Myles Tierney

Publication date: 24 July 1997

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100074855

zbMATH Keywords

homotopy categorysimplicial sheavesGrothendieck topossimplicial groupoidsQuillen homotopy structure

Mathematics Subject Classification ID

Sheaf cohomology in algebraic topology (55N30) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Related Items (9)

On the relation between continuous and combinatorial ⋮ Diagrams and torsors ⋮ The shuffle pasting ⋮ A Thomason model structure on the category of small \(n\)-fold categories ⋮ Another approach to the Kan-Quillen model structure ⋮ Classifying spaces for braided monoidal categories and lax diagrams of bicategories ⋮ Symmetric monoidal categories and $\Gamma$-categories ⋮ Sheafifiable homotopy model categories. II ⋮ Combinatorial topology and constructive mathematics

Cites Work

• Classifying spaces for sheaves of simplicial groupoids
• On homotopy theory and c. s. s. groups
• Simplicial presheaves
• Toposes without points
• Quillen closed model structures for sheaves
• Homotopical algebra
• Rational homotopy theory
• Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)

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