Singular chains on topological stacks. I.

DOI10.1016/j.aim.2016.08.037zbMath1386.55024arXiv1502.04995OpenAlexW2963655019MaRDI QIDQ323722

Behrang Noohi, Thomas Coyne

Publication date: 10 October 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04995

zbMATH Keywords

homotopy typetopological stacksingular chains

Mathematics Subject Classification ID

Singular homology and cohomology theory (55N10) Generalizations (algebraic spaces, stacks) (14A20) Topological categories, foundations of homotopy theory (55U40)

Related Items (4)

Kato-Nakayama spaces, infinite root stacks and the profinite homotopy type of log schemes ⋮ Extension of topological groupoids and Hurewicz morphisms ⋮ On the \'etale homotopy type of higher stacks ⋮ Equivariant elliptic cohomology, gauged sigma models, and discrete torsion

Cites Work

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• Homotopy types of topological stacks
• A homotopy theory for stacks
• Fibrations of topological stacks
• Replacing model categories with simplicial ones
• FUNDAMENTAL GROUPS OF ALGEBRAIC STACKS
• Spaces of PL Manifolds and Categories of Simple Maps (AM-186)
• Higher Topos Theory (AM-170)
• Simplicial homotopy theory

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