EUDML | Models for actions of certain groupoids

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Displaying similar documents to “Models for actions of certain groupoids”

Classifying toposes and foliations

Ieke Moerdijk (1991)

Annales de l'institut Fourier

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For any etale topological groupoid $G$ (for example, the holonomy groupoid of a foliation), it is shown that its classifying topos is homotopy equivalent to its classifying space. As an application, we prove that the fundamental group of Haefliger for the (leaf space of) a foliation agrees with the one introduced by Van Est. We also give a new proof of Segal’s theorem on Haefliger’s classifying space $B Γ^{q}$ .

$\infty$ -groupoids and homotopy types

M. M. Kapranov, V. A. Voevodsky (1991)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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A simplicial description of the homotopy category of simplicial groupoids.

Garzon, A.R., Miranda, J.G., Osorio, R. (2000)

Theory and Applications of Categories [electronic only]

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Pullback functors and crossed complexes

James Howie (1979)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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The stack quotient of a groupoid

Anders Kock (2003)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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Action groupoid in protomodular categories.

Bourn, Dominique (2006)

Theory and Applications of Categories [electronic only]

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The equivalence of $ω$ -groupoids and cubical $T$ -complexes

Ronald Brown, Philip J. Higgins (1981)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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The shift functor and the comprehensive factorization for internal groupoids

Dominique Bourn (1987)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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