Simplicial Sets from Categories.
D.M. Latch, R.W. Thomason, W.S. Wilson (1978/79)
Mathematische Zeitschrift
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D.M. Latch, R.W. Thomason, W.S. Wilson (1978/79)
Mathematische Zeitschrift
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Dan Burghelea, Aristide Deleanu (1968/69)
Mathematische Zeitschrift
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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.
Rainer M. Vogt (1973)
Mathematische Zeitschrift
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S.H. Nienhuys-Cheng (1971)
Mathematische Zeitschrift
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René P. Held, Denis K. Sjerve (1973/74)
Mathematische Zeitschrift
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Floris Takens (1970)
Compositio Mathematica
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R. W. Thomason (1980)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Michael Mather, Marshall Walker (1980)
Mathematische Zeitschrift
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Fritsch, Rudolf, Golasiński, Marek (1998)
Theory and Applications of Categories [electronic only]
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Grandis, Marco (2002)
Theory and Applications of Categories [electronic only]
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