Note on the gluing theorem for groupoids and Van Kampen's theorem
Klaus Heiner Kamps (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Klaus Heiner Kamps (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Brown, Ronald, Kamps, K. H., Porter, Timothy (2005)
Theory and Applications of Categories [electronic only]
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Brown, Ronald, Hardie, Keith A., Kamps, Klaus Heiner, Porter, Timothy (2002)
Theory and Applications of Categories [electronic only]
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Hardie, K.A., Kamps, K.H., Kieboom, R.W. (1999)
Homology, Homotopy and Applications
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Ronald Brown, Christopher B. Spencer (1976)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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James Howie (1979)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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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...
Ronald Brown, Philip J. Higgins (1981)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Garzon, A.R., Miranda, J.G., Osorio, R. (2000)
Theory and Applications of Categories [electronic only]
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