Double groupoids and crossed modules
Ronald Brown, Christopher B. Spencer (1976)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “The equivalence of -groupoids and crossed complexes”
Double groupoids and crossed modules
On some extrem properties of a class of simple groupoids.
L. Sin-Min, S. Aye (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Higher dimensional algebra. VII: Groupoidification.
Baez, John C., Hoffnung, Alexander E., Walker, Christopher D. (2010)
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Action groupoid in protomodular categories.
Bourn, Dominique (2006)
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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Categorified algebra and quantum mechanics.
Morton, Jeffrey (2006)
Theory and Applications of Categories [electronic only]
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Categories, groupoids, pseudogroups and analytical structures
W. Waliszewski
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CONTENTSIntroduction................................................................................................................................................. 3I. TERMS AND NOTATION....................................................................................................................... 5II. GROUPOIDS AND CATEGORIES...................................................................................................... 61. The notion of groupoid............................................................................................................................
Strong morphisms of groupoids.
Ivan, Gh. (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Lie groupoids as generalized atlases
Jean Pradines (2004)
Open Mathematics
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Starting with some motivating examples (classical atlases for a manifold, space of leaves of a foliation, group orbits), we propose to view a Lie groupoid as a generalized atlas for the “virtual structure” of its orbit space, the equivalence between atlases being here the smooth Morita equivalence. This “structure” keeps memory of the isotropy groups and of the smoothness as well. To take the smoothness into account, we claim that we can go very far by retaining just a few formal properties...