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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Garzon, A.R., Miranda, J.G., Osorio, R. (2000)
Theory and Applications of Categories [electronic only]
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Jardine, J.F. (2004)
Theory and Applications of Categories [electronic only]
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A. Neeman (2000)
Fundamenta Mathematicae
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Giffen in [1], and Gillet-Grayson in [3], independently found a simplicial model for the loop space on Quillen's Q-construction. Their proofs work for exact categories. Here we generalise the results to the K-theory of triangulated categories. The old proofs do not generalise. Our new proof, aside from giving the generalised result, can also be viewed as an amusing new proof of the old theorems of Giffen and Gillet-Grayson.
Timothy Porter (1978)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Ronald Brown, Marek Golasinski (1989)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Peter I. Booth (1998)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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P. Carrasco, A. Martínez Cegarra, J. Olmos (1985)
Collectanea Mathematica
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Marek Golasiński (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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