An étalé space construction for stacks

DOI10.2140/agt.2013.13.831zbMath1263.22001OpenAlexW1999214170MaRDI QIDQ1948301

David Carchedi

Publication date: 3 May 2013

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.agt/1513715541

zbMATH Keywords

groupoidtoposaction groupoiddifferentiable stackétalé spacetopoitopological stackétalé stack

Mathematics Subject Classification ID

Topoi (18B25) Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Generalizations (algebraic spaces, stacks) (14A20) Differential geometric aspects of gerbes and differential characters (53C08)

Related Items (4)

On the homotopy type of higher orbifolds and Haefliger classifying spaces ⋮ Sheaf representation of monoidal categories ⋮ Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity-Topoi ⋮ Étale stacks as prolongations

Cites Work

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• Integrating Lie algebroids via stacks
• An application of descent to a classification theorem for toposes
• The Classifying Topos of a Continuous Groupoid. I
• The point of pointless topology
• Higher Topos Theory (AM-170)

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